Where was Troy Maxson born in Fences?

Neither the dialogue nor the play's exposition provide us with a specific town or even state. In act 1, scene 4, Troy talks about leaving a cotton plantation that was owned by a white man named Mr. Lubin. Troy was born on that plantation:

The only part of the world I knew was the forty-two acres of Mr. Lubin’s land. That’s all I knew about life.

At the age of fourteen, Troy had a physical confrontation with his father over a thirteen-year-old girl with whom Troy had his first sexual experience and whom his father proceeded to sexually abuse. As a result, Troy left the plantation and "walked on down to Mobile"—a two-hundred-mile journey. Because he uses the preposition "down" instead of "over," Troy was probably on a plantation in central Alabama; though it is possible that he was also from eastern Mississippi. Mobile was an important port city in Alabama. Mississippi had its own such cities: Biloxi and Gulfport. If he had been from Mississippi, he would have been more inclined to walk south to one of those cities. The preference for Mobile, which was the most bustling city in Alabama at the time, strongly suggests that he was born on a cotton plantation in central Alabama.