Absolutely not. What is she thinking? I've been following your sitch for awhile SR but I don't remember if I've posted to you before. You're doing a great job staying all business with her and not taking her bait. The school thing sounds like a repeat of the support issue. I wouldn't talk to her anymore about it. Tell your L what you want to see happen and let him do his job.
Have you talked to your L about your W's meds and possible conditions? If there is bi polar involved, you really need to know. It's a potential saftey issue for your DD. My first H (whom I divorced due to cheating) was bi polar and went off his meds frequently. It was a major safety issue for my kids. Eventually, we had to stop visitation for a time until he got himself together. Hopefully, you have nothing to worry about but it doesn't hurt to ask.
