First tell us which battle you are talking about and on which side the 'lost batallion' was fighting.
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The Confederate forces are reported to have suffered about 10,699 casualties in the battle:1,728 killed 8,012 wounded959 captured/missing
Over 10,000 casualties were suffered on each side.
Ulyssess. Grant
The British had suffered more than one thousand casualties out of the 2,300 or so who fought.
The Battle of Gettysburg, in Pennsylvania, July 1-3, 1863. But I believe it was the other way around, with the north suffering the larger loss.