I don't think there's a direct connection here, unless it's maybe cousins or something, somewhere along the line.
My g-grandmother Mary Anna "Annie" McKee was born in 1871 in England and came over to the U.S. with her family in 1872. She married my great-grandfather James Francis McCartney (1872-1950) in Orange, New Jersey, around 1894.
Annie's family came from Ireland originally, though. I don't have much information, other than what a cousin of mine has dug up already.