Yeah, most people who get Type II are overweight, it's very rare for this to develop in a young, thin, healthy person.  My grandfather was very slim and was diagnosed Type II at 87 years of age.  He's the only skinny type II I've ever known, and I assumed it was his age not his weight that caused it.  Now I think it was a lack of exercise (he had surgery on both his legs in the 40s and couldn't stand or walk well) that caused it.