Yes, at least in my state -- as long as your earnings meet their minimum requirement. I didn't think I was eligible either but when we finally got through the phone lines, I was told I would be eligible (although I never ended up filing because I ended up on disability instead, but they seemed pretty sure I would've been approved). There is a catch though, I think... in my state you do need to be available & actively looking for full-time work to receive UE. Sometimes there are ways around this but it would have to get special approval.
Co-sleeping is really wonderful when your child actually SLEEPS!!