The novel says little about the "owner of the car" that was the first automobile ever seen in Jefferson, other than that he drove down from Memphis and that he trusts Buffaloe with the car for two weeks (26).
It's not certain who is the man whom Lucius calls "your father" - i.e. the father of the grandson to whom he is telling the story (25). But since we have assumed that his grandson bears both Lucius' names (i.e. is a Priest), then this man must be Lucius' son as well as Lucius III's father. "Your father" is mentioned only once, obliquely, in connection with the period of "the mid-thirties" in Jefferson (25).