I have a great-great Grandfather whose name was Abram Turner but he was born in Newfoundland, Canada. He too was born in the early 1800's. His ancestors were called Thomas, Abraham, & John repeatedly. I am thinking his father was Abraham and when we look back through the wills there is a problem with Abram and Abraham.
I do have wills dating back to the 1900's. I think the family came from the Dorset area in England. Does this help you? We also have lots of Mary's, Rebecca's, Martha's and Elizabeth's.