Yes there is such a thing called birth control, and some religions consider it a grave sin.
It's also a religious sin to have sex, let alone children, without being married. I doubt a woman who would have 8 children by one father (not married) and an additional 2 children, also without marriage, could quote any religious reservations against much of anything.
Okay, lets take this to biblical technicalities. Was there a municipal court back in biblical ages that demanded that you record a marriage?
Let me tell you sister, a piece of paper does not a commitment make. This woman's partner abandoned her, so is that her fault? At least he's paying child support. Where in the Bible does it require you to take out a marriage license in your local court house? Just point it out, because I'm very interested.