T.D.
Alot of babies won't keep socks on. My advice would be, dont' worry about it, as long as she's walking inside the house, leave them off. If you are going outside put on shoes. If you are really concerned about it, just put shoes over the socks. Then they won't come off. I'm not a big proponent of shoes for kids until they are walking regularly outside as they get a lot of feedback from bare feet on the floor which helps their balance development. As long as her feet aren't freezing, I wouldn't be concerned.