I am helping another Register descendant who is quite ill to find out what she can about Wright Register (we know the wife's name but not the children), brother to Ezekiel and Zaebedee - we have done quite a bit of research finding Zebedee mis-transcribed in a 1830 FL census index as "Freloder" due to the way they used to cross the "Z"s it looked like an "F" and the rest of the name in the original looks more like Zebedee than Freloder (a very unlikely name anyway!!)!!Ezekiel and Zebedee went to FL, but Wright seemed to stay/die in NC - but some of his children probably joined their cousins in FL at some point.
Anyway, since you have Registers on 2 sides wondered if you knew anything about Wright's children or about an Abner or Alfred Regixter (b c 1850) who married a Nancy Ann Osborn in 1879 in FL. Or their son James William/William James Register b in Florida.
Anything about Ezekiel, Zebedee or Wrights's children might help sort out this connection. She was told they descended from Wright by her grandfather.