I'd go on the date and see what she's like. But......
My last serious gf (blond, blue eyes, hot bod, fun) has a son and after we dated for a while, I got to really like and care about the little dude. We would go on hikes. We would play video games, talk about Star Wars at length (the kid loved some Star Wars), and I even started reading Moby Dick to him. She, he and I even picked out a puppy together (I still have the dog). Really started to kind of do the family thing. But.....
She decided to be a flake and sabotage the relationship, I had to break up with her, and in an odd way, I felt worse for the little man than I did for me and her; never got to explain that it had nothing to do with him. Sucked....