one-horse carriage; single-horse drawn vehicle
Refers to a carriage or cart pulled by a single horse. A somewhat specialized term, more common in historical or descriptive contexts.
Long ago, one-horse carriages ran through the town.
This picture depicts a single-horse cart.
二頭立て means 'two-horse (carriage)', using 立て instead of 引き. 一頭引き is less common and more specific to pulling by one horse.
Standard kanji spelling using 引く.
Alternate spelling using 牽く, which specifically means 'to pull (a vehicle or animal)'. Rare in modern usage.
Compound of 一頭 (いっとう, 'one head (of an animal)') + 引き (びき, nominalized form of 引く 'to pull'). The alternate kanji 牽き uses 牽く, a more specific verb for pulling vehicles or animals.