New World (North, Central & South American) quail are in this family. Quail that are found in Europe, Asia, Africa, and Australia (Old World) are included in the family Phasianidae (the pheasant family).
Some species have been introduced to other parts of the world (for example the northern bobwhite & California quail have been introduced to New Zealand.
There are also two ‘Old World’ partridge species that are actually members of this family (the stone & Nahan’s partridges, both are found in Africa).
These family members can be found in temperate to tropical to semi-arid areas in the Americas. While they are capable of flight, most prefer to walk, and if they sense danger they will either first try hiding, then running, and as a last resort take off in flight for a short distance).

The members of the family that can be spotted mainly within the United States and Mexico (some can possibly be spotted sporadically in Canada) are:
Mountain Quail
Montezuma Quail
Northern Bobwhite
Scaled Quail
California Quail
Gambel’s Quail
Reference: https://en.wikipedia.org/wiki/new_world_quail