Artillery was originally the collective term for soldiers who were armed with long range projectile, rather than personal, weapons. Field Artillery was either Foot Artillery, drawn by oxen and deployed on the battlefield by manpower, or Horse Artillery drawn and deployed by horses. Siege Artillery consisted of heavy guns used for breaching fortifications.
The Artillery is the part of the Army whose duty was the maintenance and firing of guns.
For more details of the artillery units involved in British India see the following: