It means "stream town".
I got this from behindthename.com its very helpful.
Walton is an Old English surname derived from "wald" meaning forest and "tun" meaning settlement or enclosure. Therefore, the name Walton likely originally referred to someone who lived near a forest settlement.
the family's last name was Walton and mart means store. so wal is short for Walton, and the store was founded by sam Walton. there you have it! wal mart!
Walton Farrar's birth name is Walton T. Farrar.
Emma Walton's birth name is Walton, Emma Kate.
Jerome Walton's birth name is Jerome O'Terrell Walton.
Kamera Walton's birth name is Kamera Lynn Walton.
Kent Walton's birth name is Kenneth Walton Beckett.
Larry Walton's birth name is Lawrence James Walton.
Leigh Walton's birth name is Michele Leigh Walton.
Walton Goggins's birth name is Walton Sanders Goggins Jr..
Cedar Walton's birth name is Cedar Anthony Walton Jr.
Shontelle Walton's birth name is Shontelle June-Ann Walton.
Samuel Moore Walton