Doubt if same family, but when I saw the Randolph Co., NC, thought I would respond.
I am looking for the parents of Dr. Oliver P. Luther born 1829 in Randolph Co., NC. On a census, it states that his parents were both born in NC. That is the only clue I have about his parents. Some have him listed as O. P. Luther, others as C. P. Luther married to Sarah Emerson (great granddaughter of James Emerson). I would love to find Oliver's parents.
I doubt if he's Michael's son, but there could be a Luther connection since they are both from Randolph Co., NC.