Three Henry Primes survived the CW, all Union, there are no Confederates listed under the search term H. Prime.

George Martin

Henry Prime

Residence was not listed; 18 years old.
Enlisted on 3/28/1865 at Albany, NY as a Private.
On 3/28/1865 he mustered into "D" Co. NY 192nd Infantry
He was Mustered Out on 8/28/1865 at Cumberland, Md

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Henry Prime

Residence was not listed;
Enlisted as a Private (date unknown).
"F" Co. US CT 11th Heavy Artillery

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Henry Prime

Residence Providence RI;
Enlisted on 10/17/1863 as a Private.
On 10/20/1863 he mustered into "F" Co. RI 14th Heavy Artillery
He was Mustered Out on 10/2/1865