There is more than one Filmer in the Filmer/Green genealogy.Sometimes the name was mispelled as Philmore or Philmer, but Filmer is correct.You may want to write to the Library of Virginia to obtain a copy of No. 32301 of the "Clay Family Genealogical Notes" which do mention two men with the first name Filmer.It is part of the "Green Clay Manuscript." Also write to the Filson Club in Kentucky to obtain a copy of the "Green File" in the Mezzanine Room made by Mrs. Camilla Webb Davis of Stovall, NC. in 1948.This pedigree chart is called "Descendants of Thomas Green and Hannah."
Henry Filmer, the progenitor of the name in Virginia, was married to Elizabeth Austin (whose father was not the Geoffrey or Jeffrey as first assumed but some other Austin of the same family... these Austins were forebears of novelist Jane Austin as I understand it.)Elizabeth did not stay in Virginia after Henry died. She went back to England, and her friend Frances (Culpeper) Berkeley, Gov. Berkeley's wife, was going to sell Elizabeth's land in Virginia for her.It is possible that they might have known each other back in England or grew up in the same area.
Thomas Green and wife Hannah had son Thomas "Seagull" Green, born at sea, 1635 on way from Holland to Virginia.This infant later marriedMartha (or Elizabeth) Filmer, dau of Henry Filmer and Elizabeth Austin.
Their children were John, Thomas, Elizabeth, Rebecca, Mary, Abraham, Filmer, William, and Hannah.
Thomas m. Elizabeth Marston, who later lived in Amelia Co. (my line- didn't have son name Filmer that I know of). Abraham also had a son named Filmer, who in turn had a son named Filmer. Filmer was married to Mary Walker and had a son named Filmer. William m. Amey Clay and had a son named Filmer.
So you have four Filmers to look at.I'd start in Amelia Co. and go from there... Hope this helps.Someday, when you find proof, I will give you the Filmer heritage which goes a long way back.