Can we use the below expressions to mean "one of...."
(1) A car of the family
to mean one of the family's cars?
(2) A hat of the man
to mean one of the man's hats?
(3) A son of the old man
to mean one of the old man's sons?
(4) A car of a lawyer
to mean that there is a lawyer and what we're talking about is one of the lawyer's cars?
If we use the below expressions, do they mean the the things possessed are the only ones? Or it depends on the context?
(5) The car of the girl
implies the girl has one car only ?
By the way, I know "the girl's car" is preferred, but "the car of the girl" is also correct, right?
(6) The son of the old woman
implies the old woman has one son only ?