These days, I think many men assume — usually correctly — that any woman who is divorced, for any claimed reason, blew up her own family for no good reason, and probably destroyed the only man who dared to care for her.
In other words, ladies — if you get divorced, for any claimed reason, you will not get married again.
This assumption is not always right, but it is probably right more than 80% of the time.
Nevertheless, if you are still dumb enough to consider a divorced woman, or worse, a divorced woman with children, then Talk To Her Ex-Husband First, before you get anywhere near (cohabitation) actually marrying this woman.
That will probably solve the problem.
On the other hand, if she really was not primarily at fault, I bet that her ex-husband would tell you so right to your face: “It was my fault, not hers.”
Cornerstone 