Nance...My information on the Louisiana Hammett's came from Sharon Hammett Ellington (email: GGray18@aol.com) and Linda ? (email: firstname.lastname@example.org) I haven't corresponded with either of these ladies in 10 years.I have nothing on Eugene as what they sent me didn't come up that far date wise.It is possible he is related to the Hammett clan from La.
I haven't run into the Hammatt name in Southern Maryland. There were Hammett's on the eastern shore of Maryland in either Virginia or Maryland. It is possible that spelling comes from that area.
My research I tried to limit to St. Mary's, as the family went back almost to 1634 the founding of Maryland. They landed settled then began to move into other areas.
My direct email is email@example.com if you want to inquire further on this.I will strive to see what else I can find out.....Jay