According to Little, "James Webster was admitted to citizenship in Cape Elizabeth, Maine, August 17, 1727, though it is not known from what part of New England he had previously come; he died about 1765. He married Isabel _______; children: John, born September 5, 1726; Mary, married George McLellan; James, married, September 22, Patience Webber; Thomas; William."
I don't see records of who his parents might be. Savage lists a James Webster born 27 Aug. 1688 in Boston to James and Mary Webster, but no connection is made. There is a Webster family in Cutter, but I don't see a James there. And Little tells of another Webster family on 2.895, apparently unrelated. [3, 4, 5]