A- because of what I bolded... they shouldn't legislate (early term) abortion either way. Don't outlaw it and don't fund it.
B- it should be a personal choice and since it is, that person should have to deal with the entirety of making that choice. Get pregnant and don't want to have the baby, you make the decision to get an abortion, you pay for it, and you deal with the consequences.
Whether you like it or not, the gov't does legislate morality. It is immoral to kill someone, so it's illegal. It's immoral to steal, so it's illegal. To some, aborting a 2 day old fetus is murder. To some others, aborting a fetus that's 8.9 months is perfectly fine... the gov't has the job to decided where that line is. If not the gov't then who?
I dont think the government really legislates morality. There are laws of course, but they generally exist to protect other people from you and you from them.
Back to abortion though- I agree that ideally the issue of abortion shouldnt come up, you should use contraception if you have sex and dont want a kid. But realistically, abortions aren't cheap and if a woman cant afford to pay for an abortion, the cheaper alternative is going through with the pregnancy and giving the baby up for adoption.
I hate to make this issue about money, but if you want the government to spend money pragmatically, affording poor women free abortions will probably save money long term