This is a working paper... but it is "conditionally accepted at the Review of Economic Studies". https://maddalenaronchi.weebly.com/research.html

Note that the OP links to a version from 2021. A version dated October 29, 2025 is here https://maddalenaronchi.weebly.com/uploads/1/1/7/4/117435661...

Marginal Revolution post https://marginalrevolution.com/marginalrevolution/2021/11/da...

Podcast with the author https://www.thevisiblehand.uk/episodes/episode-27

"We find that women’s relative earnings and employment increase by 4.4% and 2.9% respectively following the birth of the manager’s first daughter. These effects are driven by an increase in managers’ propensity to replace male workers by hiring women with comparable education, hours worked, and earnings."

There are so many caveats in the selection that this seems largely irrelevant.