Falconry is “the taking of wild quarry in its natural state and habitat by means of a trained raptor”. There are two traditional terms used to describe a person involved in falconry: a falconer flies a falcon; an austringer (German origin) flies a hawk (Accipiter and some buteos and similar) or an eagle (Aquila or similar). In modern falconry the Red-tailed Hawk (Buteo jamaicensis) and the Harris hawk are often used. The words “hawking” and “hawker” have become used so much to mean petty traveling traders, that the terms “falconer” and “falconry” now apply to all use of trained birds of prey to catch game. In early English falconry literature, the word “falcon” referred to a female falcon only, while the word “hawk” or “hawke” referred to a female hawk. A male hawk or falcon was referred to as a “tiercel” (sometimes spelled “tercel”) as it was roughly one third less than the female in size. Many contemporary practitioners still use these words in their original meaning. The practice of hunting a trained falconry bird is also called “hawking” or “gamehawking”.
Reference: Wikipedia Falconry