Hi! I'm an adoptive mom to a fantastic 2yo girl!
We adopted domestically because we wanted an open adoption. We did a ton of research, and determined that we wanted our child's birthparents to be readily available to our child, for when she has questions. I also have an aunt, a couple of high school classmates (and since then, got to know a teacher at my dd's school) who are birthmoms. They are all wonderful people, so I look at contact with the birth family as a plus, not something to be afraid of. Ironically, we were chosen by a birthmom who did not want contact with us, so while we have her full name, and a copy of our dd's original birth certificate, we do not have contact with her at this time.
I also have to agree with ZacknElli, that if you do an adoption correctly, there is no fear of birthparents getting the baby back. It seems like there are a lot of horror stories, but the media doesn't report on the thousands of domestic adoptions that proceed with no glitches. The horror stories are the only ones that are newsworthy, they are few and far between, and usually the birthparents originally requested the baby back before their consents were legal, within a very short time after the birth. It's typically the adoptive parents who drag the whole thing out, and end up having to return their 3yo, rather than the newborn they originally should have.
Having custody while the birthparents are still the legal parents was hard, but we knew that she wasn't really "ours" yet, although that certainly wouldn't have made giving her back any easier. I'm so grateful to my dd's birthmom for giving me the opportunity to raise her, that I didn't mind giving her a reasonable period of time, after she recovered from the birth, to get to know and understand exactly how it would feel to give up her child, and be sure she was making the right decsion. This is not a decision a woman can make before the baby is born.
Oh, yea and like some of the other posters, I also know that adopting was more "labor"-intensive than giving birth. It bugs me to no end when I hear about comments like "oh, getting this one the easy way?" about adoption. I've given birth too, and adoption was much, much harder, but honestly, that made it more rewarding for me, too.
Whew, that got long, obviously I enjoy discussing adoption, too!