I wonder if this girl is a decendant of the "infamous" Lizzie Borden? Strange coincidence.
Lizzie and her sister had no descendants.
Yes, it is a strange coincidence, but it would take quite some research. Lizzie didn't marry, did she? So Mike could not be a direct descendent. From what I could tell by a quick genealogical search, Lizzie's father and grandfather had all girls, so you would have to go back several generations to see how the Borden name carries forward. If Mike was kin, he would have been distant kin.