Your DUTY stops and starts at your daughter's needs. You have a home you can provide for her, just as well as her mother could.
If your W needs her 'own' place then she'll have to get up off the money to do it. YOU have absolutely NO obligation to fund her 'trip to la la land'
You need to be there 'emotioanlly' when she initiates any dialoge that's POSITIVE in nature.
You're NOT her whipping boy for the spewing of her self pity not the ultimate destination for any guilt trip she may choose to lay on you using your daughter as her shield.
If she hammers away about your daughter needing a decent place to live, offer YOUR home to her and tell her you'll take good care of your little girl while she's off "working out her issues"
I'm sure (at least I certainly hope) your family will help with any childcare issues that you might have in order to keep your D in your life. T2