A horsecar or horse-drawn tram is an animal-powered streetcar or tram

Tram

A tram is a passenger rail vehicle which runs on tracks along public urban streets and also sometimes on separate rights of way. It may also run between cities and/or towns , and/or partially grade separated even in the cities...

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These early forms of public transport developed out of industrial haulage routes

Wagonway

Wagonways consisted of the horses, equipment and tracks used for hauling wagons, which preceded steam powered railways. The terms "plateway", "tramway" and in someplaces, "dramway" are also found.- Early developments :...

 that had long been in existence, and from the omnibus

Bus

A bus is a road vehicle designed to carry passengers. Buses can have a capacity as high as 300 passengers. The most common type of bus is the single-decker bus, with larger loads carried by double-decker buses and articulated buses, and smaller loads carried by midibuses and minibuses; coaches are...

 routes that first ran on public streets in the 1820s, using the newly improved iron or steel rail or 'tramway'. These were local versions of the stagecoach

Stagecoach

A stagecoach is a type of covered wagon for passengers and goods, strongly sprung and drawn by four horses, usually four-in-hand. Widely used before the introduction of railway transport, it made regular trips between stages or stations, which were places of rest provided for stagecoach travelers...

 lines and picked up and dropped off passengers on a regular route, without the need to be pre-hired.