Mneme and Jane potentially have a lot in common. Jane has been used and Mneme, while lucky in her long life, has had similar concerns. They could totally be buddies. What sort of things would they do together? How can we get them to meet?
Regarding the husband and children, Mneme wouldn't be so judgemental about that. Muses tend to drop off their own children with the father or other available places. Mneme might try to convince Jane it was the right thing to do. Oops.