***** NOT A TEACHER *****
(1) I agree with SlickVic.
(2) Jane is going home with her husband, Bob. = She has one husband. As SlickVic told you, the name of her husband is just
an appositive (some extra information about her husband).
(a) For example, "Jane is going home with her husband, a dentist." ("A dentist" identifies his occupation.)
(3) Jane is going home with her husband Bob. = She has more than one husband. That is, she is going home with
her husband Bob, but she is not going home with her husband Tony.
(a) As you know, in most countries a person cannot have more than one wife/husband at one time!