The house is cool, but those reasons all sound like urban myth or just unlikely. Nobody would cut a corner of their house off just so a carriage carrying a distinguished guest could go by, it would just go one street over.
It seems way more likely that the overhang was just an original part of the house and it was built that way to accommodate the tight turn of the street. That seems to be confirmed by the foundation, if the house was later structurally changed, matching the foundation so closely would be unlikely. It’s further confirmed by the roof, the right side is a side gable and the left side is hipped, the hipped roof on the overhang side better distributes the load away from the overhang.
It would only take about 10 min. of poking around in the basement or behind the siding to tell one way or another.