The dessert sounds like kheer, stewedsquash, and is often made with vermicelli. I majored in Asian Studies in college, and whenever I took an Indian history class, the professor would have us over at the end of the term and we'd all make an Indian meal. I remember stirring the vermicelli in sweetened milk until it dissolved, which was long past the point where it felt like my arm would fall off. It also has Indian spices (cardamom, cloves, maybe cinnamon?) - kind of like a solid version of chai. You can find recipes on the Internet, but I think I might be able to find the one we made. If so, I'll start a recipes topic and post it there.