I have found two marriage license for John Williams(1705-between 25 Feb 1769 and 19 Apr 1776) the father of Asher Williams Sr. I bought the two marriage license from the New Jersey State Archive Searchable database (
www.nj.gov/state/darm/databases.html). John first married Rebecca Christopher on 22d of Oct 1734 in Burlington Co., New Jersey. John second marriage is to Hannah Scott. They were married 18 Jul 1751 in Shrewsbury, Monmouth Co., New Jersey. This makes Rebecca Christopher the mother of Asher Williams Sr and his brothers James Williams, Daniel Williams and Matthew Williams as they were all born in the 1740s before John married Hannah Scott.