This is the first time I've ever had a pregnant sim so thought I might be doing something wrong. I have the base game, holiday celebration pack and romantic garden installed. When my pregnant Sim got to the 3rd trimester she received the notice that she could take family leave, but there was no option to do so anywhere in the phone items. She is in the Tech guru career, but hasn't reached the branching part to choose a path yet.
At the time, the baby's father was unemployed (they're married and living in the same household, if that matters), with the bestselling author's aspiration. No job was registered with the ministry of labor. He did get a job while she was in the third trimester, but he didn't get any notice about family leave (he has not actually gone to work yet, either, so that may be the way it works). She went into labor shortly after he registered for the job.
They're now home from the hospital, and neither has an option to take family leave. Both have "find a job" or "quit job" as their choices under work.
I cleared the cache, repaired the game, and same results.
Edited to add: I have no CC or mods; never used