You wrote: "Perry Little & Lydia Harmon were married 10-08-1843."
The Coosa County Marriage record's book I have show that they got their application to marry 10-06-1843 but there was "no return", meaning their actual marriage was not recorded.Also the people who made the book have "Varner (?)" not Harmon - must not have been able to read the entry very well.
Anyway, in answer to your question there are no parents' names listed.I looked at other Harmons and Littles and found a William J. Stanley who married Rebecca Harmon 25 Jan 1838 with the note: "Consent of Wm. Harmon and wife... Ancestors of Mrs. Sudie H. Moore, 1705 West St. Winnsboro LA)"