I too am related to Elijah B Davidson but distantly. I found World Family Tree vol 32 tree #0199 to be most helpful. It list the descendants of Alexander Davidson born in Scotland 1690. The names you mention are all there except it has Elijah Sr. born Feb. 23 1783. I'm a descendant of Elijah Sr.'s brother William (then Perry, then Abraham, then Berton, my grandfather)Would be interested in sharing what I know of Abraham and Berton who came to CANADA in 1902 in exchange for more info on your branch. All I have is whats on that tree. There is a mention of a Davidson Family history written in 1901 by Laura Fitzallen Davidson (1830-1916)from Kentucky.
Offer open to anyone who is researching Alexander Davidson I or II.Alexander II had 19 children so there are lots of you out there.