Ok, this is an intransitive verb.
It means
to curve body and draw up legs: to sit or lie with the body curved and the legs
tucked up.
It also means, to feel extremely embarrassed: to be overcome with embarrassment, revulsion, or some other strong feeling (informal).
I took this definition from Microsoft®
Encarta® Encyclopedia 2009.
1st meaning.- curl up
in bed with a good
novel.
2nd meaning.- When I realized my mistake I just wanted to curl up and
disappear.
Another example, "to curl up with a good book"