See The American Genealogist (TAG) Vol 27 pp 95-97 where it is shown that the birth record of Mary Hill born 1 Apr 1670 to Eliphalet and Ann Hill is a clerk's entry error. The correct entry should have been Mary Hitt born 1 Apr 1670 to Eliphalet and Ann Hitt. The wife of Thomas Morehouse was Mary Hill who was not born 1 Apr 1670 and who was not the daughter of Eliphalet and Ann Hitt. The parentage of Mary Hill remains unknown. She died in 1746 at the age of 77 according to her gravestone, which would be a birth year of about 1669.
"Will of Mary Sturges, 9 July 1746, proved 22 July 1746; son Benjamin Sturges, Jr.; gr. dau. Mary Dimon; daus. Esther wife of William Hill, Abigail wife of Samuel Osborn, Jane wife of James Smedley, and Deborah wife of Thomas Staples."