From parash; a steed (as stretched out to a vehicle, not single nor for mounting (compare cuwc)); also (by implication) a driver (in a chariot), i.e. (collectively) cavalry -- horseman.
KJV: But the Egyptians pursued after them, all the horses and chariots of Pharaoh, and his horsemen, and his army, and overtook them encamping by the sea, beside Pihahiroth, before Baalzephon.
NASB: Then the Egyptians chased after them with all the horses and chariots of Pharaoh, his horsemen and his army, and they overtook them camping by the sea, beside Pi-hahiroth, in front of Baal-zephon.
KJV: And I, behold, I will harden the hearts of the Egyptians, and they shall follow them: and I will get me honour upon Pharaoh, and upon all his host, upon his chariots, and upon his horsemen.
NASB: "As for Me, behold, I will harden the hearts of the Egyptians so that they will go in after them; and I will be honored through Pharaoh and all his army, through his chariots and his horsemen.