JewishHistory.com has an entire section devoted to the Cemetery for Hebrew Confederate Soldiers.
According to the site, the Shockoe Hill cemetery in Richmond, Virginia - maintained by Congregation Beth Ahabah - is the only Jewish military cemetery in the world outside the state of Israel.
A plaque erected in 1866 by the Hebrew Ladies Memorial Association of Richmond, holds the names of those Jewish soldiers who died during the Civil War.
M. Levy, Mississippi, killed May 31, 1862.
J. Rosenberg, Ga.
Henry Adler, 46th Va.
E.J. Sampson, 4th Texas, killed June 27th, 1862.
G. Wolfe, N.C.I. Hessberg, Caroline co.
Henry Gersberg, Salem, Va., killed June 2, 1864.
T. Foltz, 16th Miss.
I. Cohen, Hampton (S.C.) Legion.
Sam Bear, Ga.
S. Bachrach, Lynchburg, Va.
Jonathan Sheuer, La.
J. Frank, Ga.
Henry Cohen, S.C. killed June 29, 1864.
Capt. Jacob A. Cohen, Co. A, 10th La., killed at 2nd Manassas, August 30, 1862, age, 33 years.
M. Aaron, N.C.A. Lehman, S.C.
Julius Zark, 7th Louisiana.
A. Heyman, Georgia.
Lieut. W.M. Wolf, Hagood's S.C. Brigade, died May 9, 1864.
Lieut. L.S. Lipman, 5th Louisiana, died May 9, 1863.
Erected by his brothers to the memory of Isaac Seldner, of the 6th Virg. Inf. Reg., born December 23, 1837, killed at the battle of Chancellorsville, Va., May 3rd, 1863. None knew him but to love him.
S. Weiss, Ga.
H. Jacobs, S.C.E.B. Miller, died April 6, 1864.
Corpl. G. Eiseman, 12th Miss.
M. Bachrach, Lynchburg, Va.
S. Oury, 16th Miss.; died June 10, 1861.
A. Robinson, 15th Ga., died Jan. 26, 1863.
There are also soldiers killed in battle and buried elsewhere:
Gustavus Kann, 16th Mississippi;
Henry Smith, Richmond, Otey Battery;
Marx Myers, Richmond Grays;
Isaac J. Levy, Richmond Blues
Captain M. Marcus, 15th Georgia, killed October 13, 1864.
The site has many very interesting resources - take some time to look around.