Thank you for this confirmation Patricia. So it seems likely that our Robert Bloomer may be connected with the Bloomer family settled at Halesowen, Worcestershire, England (just outside of Birmingham).
I am a bit skeptical of his wife being Rachel Hart, as it seems that Rachel Hart married a man in Salem, MA. The name Rachel also appears in the Barton family. It is known that Robert Bloomer and Roger Barton were closely associated. Could this Rachel have been Rachel (Lewis) Barton? In my Brundage line there is a Rachel Brundage, named for her mother Rache (Hubbard) Brundage. I think she married Timothy Knapp though. And there is also the Rachel Bullis, daughter of Phillip Bullis and Judith (Hart) Reap. Robert Bloomer was associated with the Bullis family who were also said to have been from the Birmingham area of England. Was this Rachel a Bullis, perhaps a sister or daughter to Philip?
I only know my ancestor as "Miss Bloomer, wife of Jonathan Ogden, son of William and Martha (?) Ogden of Northcastle." There is some suggestion that she may have been a Rachel Bloomer, daughter of Robert and Elizabeth (Anderson) Bloomer of Rye, NY in I.G.I. Another possibility is that she was a sister to Joshua Bloomer, who was granted lands with Jonathan Ogden in Hartland, NY. This Joshua Bloomer was the son of Gilbert and Elizabeth (Sherwood) Bloomer. Elizabeth (Sherwood) Bloomer's mother was also an Elizabeth Bloomer, wife of Joseph Sherwood. Have no idea which line that Elizabeth Bloomer belongs to.