That is a fascinating project, and I hope you will share the results.
There is an author named Kernot who has tried to develop a relationship between gender and frequency of pronoun use that may interest you.
Kernot, D. (2018). Can three pronouns discriminate identity in writing? In R. Sarker et al. (Eds.), Data and decision sciences in action - Proceedings of the Australian Society for Operations Research Conference 2016. New York: Springer.
Good luck.
Jerry Tuttle
Rocky Mountain College of Art & Design
------------------------------
Jerome Tuttle
Adjunct instructor
------------------------------