noun
horse-drawn cart; wagon; dray
Refers to a cart or wagon pulled by a horse, used historically for transporting goods. The word is straightforward and neutral.
昔は荷馬車で野菜を市場まで運んだ。
In the old days, they transported vegetables to the market by horse-drawn cart.
その絵には荷馬車を引く馬が描かれている。
The picture shows a horse pulling a wagon.
リヤカー is a hand-pulled cart or trailer, not horse-drawn, and is more common in modern contexts.
Compound of 荷 (ni, 'load, cargo') and 馬車 (basha, 'horse-drawn carriage'). The reading にばしゃ is a straightforward combination of the on'yomi of 荷 and the reading of 馬車.