They chose to move in with a single mother. They could have dated without living with her.
You have it 180 degrees out of whack.
She shows up on YOUR doorstep, crying and saying she's been evicted and has no where else to turn. Being kind hearted, you allow her to move in; and she is more than eager to move in. She moves her brood in, while secretly maintaining the apartment (that she was NOT evicted from) and stays for 1 month. Meanwhile, you feel good for helping a woman with a family out of a difficult situation.
Then you get your wages garnished. What? No court date? Why, this girlfriend simply intercepted the court documents. You see, all she has to do is file that you have agreed to support her and her brood - and by having them live with you for 30+ days; this is true. The court will make you pay child support for her brood; despite the fact that you have fathered none of the kids, and may not even be sleeping with her.
As you did not show up in court to contest her filing, you forfeit your right to question the finding. So, now you get to join the ranks of men paying her to stay home. There are women in Seattle making over $100,000/yr - tax free; having done nothing more than having a couple of kids, and moving in with 4 or more 'boyfriends' for a month. Nice scam, huh?