to one's name - Phrases/Idioms
The American Heritage® Dictionary of Idioms by Christine Ammer. Copyright © 2003, 1997 by The Christine Ammer 1992 Trust. Published by Houghton Mifflin Harcourt Publishing Company. All rights reserved.
Owned by one, as in He has not got a nickel to his name, or She has only one pair of shoes to her name. This idiom was first recorded in 1876.