THE OPPOSING FORCES IN THE VICKSBURG CAMPAIGN.

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First Brigade , Brig.-Gen. Stephen G. Burbridge : 16thInd., Col. Thomas J. Lucas, Maj. James H. Redfield;60th Ind., Col. Richard Owen ; 67th Ind., Lieut.-Col.Theodore E. Buehler; 83d Ohio , Col. Frederick W.Moore; 96th Ohio , Col. Joseph W. Vance; 23d Wis., Col.Joshua J. Guppey, Lieut.-Col. William F. Vilas . Bri-gade loss: Port Gibson, w, 8. Champion’s Hill, w, 16 .Big Black Bridge, w, 1; m, 1 = 2. Vicksburg , assaultMay 19th, k, 2; w, 15 = 17; assault May 22d, k, 14; w,82; m, 2 = 98. Second Brigade, Col. William J. Landram:77tli Ill., Col. David P. Grier; 97th III., Col. Friend S.Rutherford, Lieut.-Col. Lewis D. Martiu; 130th Ill,, Col.Nathaniel Niles ; 19th Ky., Lieut.-Col. John Cowau, Maj.Josiah J. Mann; 48th Ohio , Lieut.-Col. Job R. Parker,Col. Peter J. Sullivan. Brigade loss: Port Gibson, lc, 2;w, 21; m, 8=31. Champion’s I-Iill, w, 6. Vicksburg ,assault May 19th, k, 3; w, 15 = 18; assault May 22d,k, 44; w, 210; m, 30=284. Artillery: Mercantile (Ill.)Battery, Capt. Patrick H. White; 17th Ohio , Capt. Am-brose A. Blount, Capt. Charles S. Rico. Artillery loss:Champion’s Hill, w, 3. Vicksburg , assault May 22d, w, 3.twelfth division, Brig.-Gen. Alvin P. Hovey .

Escorl: C, 1st Ind. Cav., Lieut . James L. Carey.

First Brigade, Brig.-Gen. George F. McGinnis: 11thInd., Col. Daniel Macauley (w), Lieut.-Col. William W.Darnall; 24th Ind., Col. William T. Spicely (w>; 34thInd., Col. Robert A. Cameron, Lieut.-Col. William8waim (m w), Maj. Robert B. Jones, Col. Robert A.Cameron; 46th Ind., Col. Thomas H. Bringhurst; 29thWis., Col. Charles R. Gill, Lieut.-Col. William A. Greene.Brigade loss: Port Gibson, k, 30; w, 187; in, 1 = 218.Champion’s Hill, k, 103; w, 507; m, 26 = 636. SecondBrigade, Col. James R. Slack: 87th Ill., Col. John E.Whiting; 47th Ind., Lieut.-Col. John A. McLaughliu;24th Towa, Col. Eber C. Byara, Lieut.-Col. John Q. Wilds;28th lowa, Col. John Connell; 56tli Ohio, Col. William H.Raynor. Brigade loss: Port Gibson, k, 16; w, 62; m,11 = 89. Champion’s Hill, k, 108; w, 365; m, 93 = 566.Artillery: A, 1st Mo., Capt. George W. Schofield; 2dOhio, Lieut. Augustus Beach; 16th Ohio , Capt. JamesA. Mitchell (mw), Lieut. George Murdock, Lieut . RussellP. Twist. Artillery loss: Port Gibson, w, 3.fourteenth division, Brig.-Gen. Eugene A. Carr .

Escort: G, 3d Ill. Cav., Capt. Enos MePhial (k), Capt.Samuel S. Marrett.

First Brigade, Brig.-Gen. William P. Benton, Col.Henry D. Washburn, Col. David Shutik: 33d Ill., Col.Charles E. Lippincott; 99th III., Col. George W. K.Baile 3 T , Lieut.-Col. Lemuel Parke; 8th Ind., Col. DavidShunk, Maj. Thomas J. Brady; 18th Ind., Col. Henry D.Washburn, Capt. Jonathan H. Williams; 1st U. S. (siegeguns), Maj. Maurice Maloney. Brigade loss: Port Gib-bon, k, 28; w, 134 = 162. Champion’s Hill, k, 1; w, 2 =3.Pig Black Bridge, k, 1; w, 22; ra, 1=24. Vicksburg , as-sault May 22d, k, 61; w, 273; m, 7=341. Second Bri-(Hide, Col. Charles L. Harris, Col. William M. Stone ,Brig.-Gen. Michael K. Lawler: 21st Iowa, Col. SamuelMerrill (w), Lieut.-Col. Cornelius W. Dunlap (k), Maj.Salue G. Van Anda; 22d Iowa, Col. William M. Stone (w),Lieut.-Col. Harvey Graham (w nude), Maj. Joseph B.Atherton, Capt. Charles N. Lee; 23d Iowa , Col. WilliamH. Kinsman (k), Col. Samuel L. Glasgow; llth Wis.,Lieut.-Col. Charles A. Wood, Col. Charles L. Harris, Maj.Arthur Platt. Brigade loss: Port Gibson, lc, 13; w,88 = 101. Big Black Bridge, k, 27; w, 194 = 221. Viclcs-inirg, assault May 22d, k, 54; w, 283; ra, 29=368. Artil-teru: A, 2d Ill., Lieut . Frank B. Fenton, Capt. PeterLavidson; 1st Ind., Capt. Martin Klauss. Artilleryioss: Port Gibson, k, 2. Big Black Bridge, k, 1. Vicks-burg , assault May 22d, w, 1.

FIFTEENTH ARMY CORPS, Maj.-Gen. William T.Gherman.

First division, Maj.-Gen. Frederick Steele.

First Brigade, Col. Francis II. Manter, Col. Bernard G.Farrar: 13th Ill., Col. Adam B. Gorgas ; 27tli Mo., Col.Thomas Curly; 29th Mo., Col. James Peckham; 30thMo., Lieut.-Col. Otto Seliadt; 31st Mo., Col. Thomas C.Fletcher , Maj. Frederick Jaenscli, Lieut.-Col. Samuel P.^Jmpson; 32d Mo., Maj. Abraham J.Seay . Brigade loss:Vicksburg , assault May 19th, k, 1; w, 9 = 10 ; assault

May 22d, k, 2; w, 5 = 7. Second Brigade, Col. Charles R.Woods: 25th Iowa, Col. George A. Stone; 31st Iowa ,Col. William Smyth, Maj. Theodore Slimming; 3d Mo. ,Lieut.-Col. Theodore Meumaun; 12th Mo. , Col. HugoWangelin; 17th Mo., Col. Francis Hassendeubel (m w),Lieut.-Col. John F. Cramer; 76th Ohio , Lieut.-Col. Will-iam B. Woods. Brigade loss: Vicksburg , assault May19th, k, 1; w, 3 = 4; assault May 22d, k, 37; w, 145; m,8=190. Third Brigade, Brig.-Gen. John M. Thayer: 4thIowa, Col. James A. Williamson, Lieut. -Col. GeorgeBurton; 9th Iowa , Maj. Don A. Carpenter, Capt. Fred-erick S. Washburn, Col. David Carskaddon; 26th Iowa ,Col. Milo Smith; 30tli Iowa , Col. Charles II. Abbott (lc),Col. William M. G. Torrence. Brigade loss: Vicksburg ,assault May 19th, lc, 7; w. 43 = 50; assault May 22d, lc,35; w, 119; ra, 1 = 155. Artillery: 1st Iowa , Capt. HenryII. Griffiths; F, 2d Mo., Capt. ClemensLandgraeber; 4thOhio, Capt. Louis Hoffmann. Artillery loss: Vicksburg ,assault May 22d, w, 1. Cavalry: Kano County (Ill.)Company, Lieut. Thomas J. Beebe; D, 3d Ill., Lieut .Jonathan Kershncr.

second division, Maj.-Gen. Frank P. Blair , Jr.

First Brigade, Col. Giles A. Smith: 113th Ill., Col.George B. Hoge, Lieut.-Col. John W. Paddock; 116tli 111.,Col. Nathan W. Tuppor; 6th Mo., Lieut.-Col. IraBoutell,Col. James H. Blood; 8th Mo. , Lieut.-Col. David C. Cole-man; 13th U. S. (1st Battalion), Capt. Edward C. Wash-ington (m w), Capt. Charles Ewing, Capt. Charles C.Smith. Brigade loss: Vicksburg , assault May 19th, lc,37; w, 164; in, 1 = 202; assault May 22d, k, 20; w, 81;m, 1=102. Second- Brigade, Col. Thomas KilbySmith, Brig.-Gen. J. A. J. Lightburn : 55th Ill., Col.Oscar Malmborg; 127th Ill., Col. Hamilton N. Eldridge;83d Ind., Col. Benjamin J. Spooner; 54th Ohio , Lieut.-Col. Cyrus W. Fisher; 57th Ohio , Col. Americus V. Rico,Lieut.-Col. Samuel R. Mott. Brigade loss: Vicksburg ,assault May 19tli, k, 29; w, 125; m, 1=155; assaultMay 22d, k, 11; w, 45 = 56. Third Brigade, Brig.-Gen.Hugh Ewing: 30tli Ohio , Lieut.-Col. George H. I-Iildt,Col. Theodore Jones; 37tli Ohio , Lieut.-Col. Louis vonBlessingh, Maj. Charles Ilipp, Gol. Edward Siber; 47thOhio , Col. Augustus C. Parry; 4th W. Va., Col. JaniesPI. Dayton. Brigade loss: Vicksburg , assault May 19th,k, 54; w, 194; m, 6 = 254; assault May 22d, k, 25; w,116; m, 3 = 144. Artillery: A, 1st Ill., Capt. Peter P.Wood; B. 1st Ill., Capt. Samuel E. Barrett, Lieut . IsraelP. Rumsoy; PI, 1st Ill., Capt. Levi W. Hart; 8tli Ohio ,Capt. James F. Putnam. Artillery loss: Vicksburg ,assault May J9th, w, 2; assault May 22d, k,2. Cavalry:A and B, Thielemann’s (Ill.) Battalion, Capt. Milo Thiele-mann; C, 10th Mo., Capt. D. W. Ballou, Lieut . Ben. Joel.THIRD division, Brig.-Gen. James M. Tuttle.

First Brigade , Brig.-Gen. Ralph P. Buckland, Col.William L. McMillen : 114th Ul., Col. James W. Judy;93d Ind., Col. De Witt C. Thomas; 72d Ohio , Lieut.-Col.Le Roy Crockett (w), Maj. Charles G. Eaton; 95tliOhio , Col. William L. McMillen, Lieut.-Col. JeffersonBrumback. Brigade loss: Jackson, k, 4; w, 9 = 13.Vicksburg , assault May 19th, k, 4; w, 30 = 34; assaultMay 22d, w, 9. Second- Brigade, Brig.-Gen. Joseph A.Mower: 47th Ill., Col. JolinN. Cromwell (k), Lieut. -Col.Samuel R. Baker; 5tli Minn., Col. Lucius F. Hubbard ;llth Mo., Col. Andrew J. Weber an w), Lieut.-Col. Will-iam L. Baruum; 8tli Wis., Col. George W. Robbins.Brigade loss: Jackson, k, 1; w, 9; in, 3 = 13. Vicksburg ,assault May 22d, k, 17 ; w, 136; m, 29=182. Third Bri-gade, Brig.-Gen. Charles L. Mattliies, Col. Joseph J.Woods: 8tli Iowa, Col. James L. Geddes; 12tli Iowa ,Col. Joseph J. Woods, Lieut.-Col. Samuel R. Edgington;35tli Iowa , Col. Sylvester G. Hill. Brigade loss; Jack-son, k, 1; w, 1; in, 1 = 3. Vicksburg , assault May 19tli,k, 1; w, 1 = 2; assault May 22d, w, 5. Artillery, Capt.Nelson T. Spoor: E, 1st Ill., Capt. Allen C. Waterhouse;2d Iowa, Lieut . Joseph R. Reed. Artillery loss : Jack-son, w, 3. Vicksburg , assault May 22 d, lc, 1; w, 4 = 5.Cavalry: 4tli Iowa, Lieut. -Col. Simeon D. Swan.

SIXTEENTH ARMY CORPS (detachment), Maj.-Gcn.Cadwallader C. Washburn .

first division (joined Juno 12 tli), Brig.-Gen. Win. SooySmith.