Patricia, I am also a descendant of Joseph Weld.Try looking at Dennis N. Reed's (email is email@example.com)family tree on rootsweb.He lists Edmund as married to Amye Brewster Clarke (I have also seen her listed as Amy Dereslye - how's that for confusing?) and has details about birth & death date, etc.He also lists all Joseph's siblings.
Furthermore, he has Edmund's grandparents and great-grandparents on his tree - going back to early 1500's.
Let me know if you can't find his rootsweb tree.I printed out all the info and can email to you if necessary.
ps: which branch of Joseph Weld are you descended from?