If you live in MA (Massechusset), legally you should have insurance, even you do not pay for it. You need to chekc online (some government website).

Also understand the grace period, plus if you are in group insurance, you can get it extended under your own cost, I think. DO NOT Tell insurance company (not now) you are preganant, understand their policy first. Otherwise, they will take advantage of your naive........

I do not understand why this concern can be so serious that you have to give up your baby?!!!