If she is no interested in the kids, she should not go further. Reality is the kids will come in between them sooner than later and it will be problem after problem if she does not want to share the burden.
I would spend it with a friendly stranger who live a total different life and in a different part of the world. It will broaden my perspectives of what I know about the world versus my world.
If you are invited because a bunch of guys want to have sex with you, you are definately with wrong company. Ditch these idiots!!! They are just out for fun and will hit on anyone to fulfil their own pleasures. But how dare they treat such a beautiful person like this! You deserved to be treated...
Its not a woman thing. Its a human thing. I wonder why would she want to set you up with that friend when she knows like the friend is attached in another relationship. Did the friend has anything to gain from being with you?