A question! Of horse-and-carriage terminology!

[desperance]

So if an ostler (or hostler, apparently, here in the US - I have never seen that in the wild, I think) cares for horses at an inn and a coachman drives a carriage, what should we call the man responsible for the care of the carriages themselves, and/or the man in overall charge of the coach house? There must be a word. Or do the vehicles too come under the care of the grooms and stable hands? (If it's relevant, I'm actually thinking about big private houses here, not public businesses. Nineteenth-century, more or less.)