I believe that Asaph Wilder was the son of Deacon and Colonel James Wilder, Esquire, J.P., and Abigail Gardner.
James Wilder was the son of Captain Thomas Wilder Jr. and Mary Houghton.
Thomas Wilder Jr. was the son of Thomas Wilder and Anna Eames. (Possibly Anna Mears)
Thomas Sr.is at times referred to as the Immigrant Thomas Wilder to distinquish him from the Martha Wilder family because there is no certainty that he is the son of Martha Wilder who immigrated to Hingham, MA in 1638 with her daughter Mary where they joined her son Edward and daughter Elizabeth. Is the Edward you refer to that son of Martha Wilder? If Thomas Wilder Sr. were proven to be the brother of Edward then your Zilpah would I believe be the gggrandneice of Edward. Also, I believe there is no relationship between that Edward Wilder and the Roger Wilder who arrived on the Mayflower.
If you want more details I will be glad to furnish them and also the source of this information. By the way I am a descendent of the Immigrant Thomas Wilder and Thomas Jr.