From "Alabama - Her History, Resources, War Record, and Public Men From 1540 To 1872" by W. Brewer.
Page 68-69
"Of these, about one hundred and twenty-two thousand had enlisted in the armies of the Confederacy, and at least one-fourth of them filled the soldier's grave."
The last section of the book gives a brief outline of the various Alabama Regiments (infantry, cavalry, artillery etc.) I started to add the losses listed for each regiment and in the first twelve infantry regiments, there were over 6000 deaths! The numbers listed in your original post most certainly are wrong!!!!