Carolinas were death on crops, hence shot and trapped wherever found.
This easily explains their rapid disappearance from settled areas of the
eastern US. They disappeared as land became settled and farmed, and
while not extinct until 1920 or so, were very few and far between in
Kentucky by 1831, a place where they should have been common.

I am very uneasy about the unquestioned acceptance, nay, encouragement, by
birders and wildlife departments, of exotic species being brought to North
America as pets and winding up as feral species in our ecosystem. They do
not belong here. We have not learned much from the starling and english
sparrow, I guess.