Permelia Howard Akers was born in Montgomery Co VA about 1800 and died in Floyd Co VA before 20 Nov 1856. On 12 Apr 1818 she had an illegitimate son, Lindsey Akers, and on 10 Apr 1836 she married "Lame" or "Crippled" John Weddle in Montgomery Co VA. My understanding is that the custom of the time was for an illegitimate child to take the surname of the mother, therefore Permelia is almost certainly an Akers, and the Howard is for her mother's family.
Proceeding with this assumption, then her parents must be either (a) Jonathan Akers and Hannah Howard, who married in Montgomery Co VA on 25 Mar 1795, (b) Jacob Akers and Ruth Howard, married 21 Dec 1796 in Montgomery Co VA, or (c) Blackburn Akers, Jr. and Elinor Howard, who married in Montgomery Co VA on 17 Apr 1797.
On the 1810 census of Montgomery Co VA Jonathan and Hannah have two females 0-10 and two 10-16. The 10-16 are Matilda and probably Clarissa, leaving two 0-10 unnamed.
On the same census Jacob and Ruth have three females in the 0-10 age group. One is probably Elizabeth, leaving two unnamed.
Also on the same census, Blackburn, Jr. and Elinor have one female in the 0-10 group and one in the 10-16. The 10-16 would be Esther, leaving the 0-10 female unnamed.
One of these five unnamed females in the 0-10 group on the 1810 census must certainly be Permelia Howard Akers. I've about run out of information and places to look for more. Anything that might help narrow my search would be greatly appreciated!