lori,
Your'e not the first to be concerned about claustrophobia in a hammock
There are several threads about it on HammockForums.net

My hammock is referred to as a 'body bag' so you can guess how it wraps around me (plus it's black!). I've found that as long as I can keep my face in an open area, I'm okay. Plus, it's easy to get in and out of (I have a top loader as opposed to a bottom entry like a Hennesy), which helps me with the feelings of claustrophobia. Knowing I can quickly get out of something seems to be half the battle. The tie outs on a Hennesy allow it to feel more open. I have them on my hammock and use them during the summer, mainly to help with air circulation.

Tango