Ebenezer Fuller, b. 1721 Plymouth County, MA, and Lydia Chipman, b. Halifax, Plymouth, MA, 1728, were married at Halifax in 1747. Roser (Roser, Susan E. Mayflower Births and Deaths: From the Files of George Ernest Bowman at the Massachusetts Society of Mayflower Descendants. Volumes 1 & 2. Baltimore, MD: Genealogical Publishing Company, Inc., 1992. Vol. 1, Pages 462-463.) shows that they had 5 children: Ruth, Lydia, Chipman, Priscilla and Eunice.
Lydia died on 22 Aug 1766 at Halifax. Ebenezer married second Deborah (Fuller) Eaton at Halifax on 20 March 1768. Ebenezer lived and died at Halifax, and most of his children are buried in the Tomson Cemetery there.
Wikitree shows a son, Ichabod, b. 7 Sept 1766 at Halifax, but there are no sources. I can find no record of his birth, life, etc., or ANY connection with Ebenezer or Lydia. His birth in Sept 1766 is a month after the death of Lydia and 1-1/2 years before Ebenezer's marriage to Deborah. The only sources that I can find for him are unsource family trees.
Did Ebenezer have a son Ichabod?