It never occurred to me to take it, we had so many wraps/blankets, I probably thought we didn't need it (it was a purple waffle blanket). But now that the thought has been put in my head that it was special because it was the first thing he was wrapped in, I wish I had!
Does the hospital even care if you take it? Especially if you've gone private? We paid so much over here in the UK to go privately that I would think the blanket is included!
Eta: just saw theoneandonly's comments.