For some reason everybody likes banning things. How about offering incentives to keep the babies if that is the big deal?
If those women are offered prenatal care and then families that will adopt the child, I'm sure many will chose to do it.
And since when bans work? How many women died or got hurt during illegal abortions before they were legalized?
BTW, I'd rather pay for condoms or abortions than house the unwanted child in various juvenile and adult correction facilities. Because that's where most of these kids will end up if they are born.