Baby is not covered until after 30 days!!!
I was just in this EXACT situation as a SWA newhire, so I can speak with 1) credibility, and 2) recent experience. The above posts are only partially correct. Yes, it's true that all of your **current** family members are covered by SWA's basic medical coverage on day one of training. However, your newborn baby is **not** covered at all until after the first 30 days of SWA employment. It is critical that you understand the ramifications here. Your wife can get all the prenatal and post partem care in the world. However, if heaven forbid, the baby needs to be hospitalized for some kind of problem, there is no coverage.
We were lucky--my wife had a baby just 2 days after the 30-day wait period, so the baby was born with full SWA coverage. Whew! Had the baby been born during the 30-day wait, we could have paid for COBRA insurance retroactively to cover anything needed. COBRA would have been expensive, but at least it would have helped to avert disaster.
My suggestions:
1. Don't trust life and death decisions and your family's financial future to a bunch of opinions presented at flightinfo.com (including mine). CALL SWA BENEFITS DEPARTMENT DIRECTLY. The SWA Benefits office is great. There are very helpful people in there just falling all over themselves to help you. No kidding. My wife called them several times, and they gave us the straight story.
2. Research your COBRA options. It could come in handy if your timing is off and you need something to fill the gap.
Good luck to you and your family, and CONGRATULATIONS!