Mrs. Bates purse represents the trust she has in roger even after he tried to take her purse.
Rogers reason for trying to steal her purse was so that he could buy himself some blue suede shoes. To roger these were the only thing he wanted in life and the only way he could do it was to steal.
Mrs. bates saw that roger was very dirty so she decided to wash him. she took him to the bathroom to wash his face. she realized that he was very dirty and did not have a home to go back to and wash up.