Sorry I have not responded sooner, I have been on vacation.
Abraham Eversole had a land grant, application dated 1801 in Bedford County. I too found him in the tax records dated 1796. I can not find him again till 1817 and from then on he is on the census 1820, 1830, 1840 for Bedford County, Pa.
I think I have found him on the 1810 tax list for I believe Huntingdon County. I found it in a book about Blair County but of course there was no Blair County in 1810.It is now Blair County but I am not familiar with the changing of the county lines.
I would be glad to send you anything I have, but it is not much.