Birth Source: 1840 Census
There's an Asa/Ase/Acey Reeves listed in the 1st Regiment (Means') South Carolina Militia in the War of 1812. He entered as a private and was discharged as a corporal.
This would appear to to be the same Asa Reeves listed in Union County in 1830 and 1840.
U.S., War of 1812 Service Records, 1812-1815 (Ancestry.com)
1830 Census - Union County, South Carolina
1840 Census - Union County, South Carolina