Does anyone have infomration on what became of the Jackson Blues, a volunteer militia company from clark County?

On March 29, 1861, Colonel William M. Bruce, Commander, 28th Regiment, Arkansas State Militia wrote to Governor Henry M. Rectorr requesting commissions for newly-elected officers of the 28th Regiment, Arkansas Militia. Bruce writes two volunteer companies are forming, the "Clark County Light Artillery" under Captain Frank Roberts and the "Jackson Blues" under Captain Shaw. Kie Oldham papers

What became of Shaw's "Jackson Blues"?