I'd have a hard time believing why a girl/lady/woman would be in an ox cart at night. Oxen were slow and were used for hauling large loads, not "going for a drive". The carts were noisy and the wheels had to be frequently greased so a teamster would have to accompany the cart. Oxen aren't driven like horses, the teamster would crack a whip near the animals head to get it to turn away. Because of the rough action of the carts on bumpy rutted roads, people preferred to walk. To give you a better idea - when the early settlers moved from the east coast toward the plains, oxen were used, a six or 8 hitch to move the big wagons thro hilly country as horses would never have stood up to this. Once out in flatter country the oxen were traded for horses.