I noticed this message is from 2000 so by now you may have all the answers you need, but will send along the little I know about Jane.
Her first husband was Edward Woodworth. His name found in the marriage record of their daughter, Nellie. In Nellie's marriage record she bears the name Nellie Adkins, daughter of Edward Woodworth and Jane Davenport. There were three children from this marriage: Nellie, Mae Eva; and Mary Louise.
Her marriage to Philip Adkins took place at Frank Davenport's house. Perhaps that may give you a clue toward her parent's names.