Have to their name - Idioms by The Free Dictionary
have (something) to (one's) name (redirected from have to their name)
have (something) to (one's) name
To own or possess something. This phrase is often used in the negative to mean the opposite. During college, when I didn't have a penny to my name, I survived off of ramen noodles for months at a time.
have to your name have in your possession.
(not) have something to your ˈname (informal) (not) possess something: I’ve only got two dresses to my name. ♢ She didn’t have a penny to her name when she arrived here.