The horse team, driver, grooms, beer wagon, tools, supplies, tack and feed would be carried in a baggage car built to carry fine stock or vehicles as well as baggage and express.
It was common then to have a horse team crew ride with them in transit, the same as done when transporting race horses and trotters to various tracks across the US.
By traveling with passenger trains, a trip would be reasonably fast and on time. A number of railroads had baggage cars built for such trade. Here is an O gauge model I made from a photograph of a Union Pacific car.
S. Islander