Well, she's 11? Interests are so varied at that age, and beyond, that I would not consider investing in a sewing machine of any value---- vintage, least of all....maintenance on those is required.
if anything..there is that little kittie or some such sewing machine designed for children-that would be my choice. When she visits you, let her still "learn" on your real machine, or bring along "her own" and if as she matures, and still shows an interest, then a better investment would be justified. Jmho