Hi There,
I am Tracing My partner's Family Tree. My Partner is also a Greer, His Great, Great, Grandfather was Patrick Jackson Greer. Who's father is Joseph Greer, and Mother Martha McClelland.
I've gotten quite far on his Greer family tree, however, I did check to see if there was a Moses Greer on his family tree, i wasn't able to find it. But It's possible I haven't gotten to that branch either.
If you are on Ancestry.com you can look up the family tree which is called Greer_Eunson Family Tree or look up the username linivuki - I am still trying to sort through My partners Greer line and trying to get verification for sources as well. But You are welcome to have a look at the tree.
What I've been told by My Partners Family is that, the Name Greer had been changed from Grierson...so there are some who have the name Grier and Greer, but could come from the branch as 'Grierson' I was also told that back in the earlier days, much earlier. There is a story or a well known fact that Grierson and related names are recognised as a sept of the Scottish name McGregor. Beginning in 1603 the McGregor name was proscribed by the King and many were forced to change their names or face certain death. Many used Grierson, Greg, Greig, Greer and Grier, etc. as aliases, thus there may be two spellings for the same name. As far as can be ascertained, those MacGregors using Grier(son)(Greer) etc, reverted to MacGregor when proscription was lifted. But some continued to use the last name Grierson, which changed to Grier/Greer.
I will go through the tree again and If I do find a link to Moses Greer born: 1790 I will let you know.