This is an excellent question, and I'm sorry that I missed it when it was first asked 21 days ago. Unfortunately, we have very little extant information about female painters in the Song dynasty, so most of the examples of female artists come from the Imperial family, or the assistants involved in creative pursuits at the court level, like imperial ghostwriters.

If you're still doing research on this subject, you'll want to check out Hui-Shu Lee's Empresses, Art, and Agency in Song Dynasty China, which will be able to give you a decent list of names of female artists in the Song, as well as a lot of context about their role in court life and the importance of their creative works.