they have a baby to a dirty old man...
Yes. Happens all the time.
taxi woman driver,
Nothing. The woman might be tempted to take it home, that's about it.
taxi woman driver,
Interesting. What happens if the question is "Is it gross when a 22-year-old woman sleeps with a 44-year-old man?" Compare this with what happens if the question is "Is it gross when a 22-year-old man sleeps with a 44-year-old woman?" The fact is, since both of them are adults, it's their business and no one else's.
Yes, "First Woman Driver" should be capitalized as it is a title or specific designation referring to the first woman who drove a vehicle.
The old woman in "The Sniper" by Liam O'Flaherty is killed by the sniper after she reveals his location to the enemy. This leads to a tragic ending as the sniper recognizes that he has killed his own brother.
They get a ticket.
Adam's daughter, who is nine years old, is killed after being involved in an accident with a drunk driver.
It happens.
The first woman granted a driver's license in the USA was Anne Rainsford French, in 1900.