So we know what happens to Booker, Elizabeth / Anna, and the Lutces after Columbia is erased from existence, but what about Slate, Fink, or Fitzroy? They obviously still exist in Booker's universe, but their lives are obviously different. Slate was still in Wounded Knee with Booker, and perhaps Slate would still fight against the Boxers, but with the Americans instead of Columbia, and even then, perhaps the output of that battle would've been different for Slate - maybe he didn't lose his eye in Booker's timeline. As for Fink and his bro-bro, maybe they might've turned out the same, only not as successful since they never discovered the tears, or maybe not successful at all, or maybe they had different occupations. Fitzroy, her occupation in Booker's universe is a complete mystery.
What do you think though? How did Slate, Fink, or Fitzroy live in a world without Columbia?