Did you set off bombs in the house? Did you get a kit and treat yourself? You need to do this. If I get her lice free and she gets reinfected at the house I might have to beat you to death. Just wanna be upfront on this one.
Interesting that she assumes that your D picked up head lice either at your house, or while in your care. BTW, bouncing for 90 minutes in a bounce house with other children would be an ideal place to pick up head lice.
I'm glad to see that you are moving forward with the deposition. Resist the temptation to "rescue" her during the deposition. She needs to account for the statements she has made. If that makes her uncomfortable...good. Maybe she will think twice about besmirching your reputation again.