Where and when did the Mohawk tribe live?

They lived in upper New York state and they lived before the 1700's

The Mohawk or properly named Kanienkehaka ("People of the Flint") were a collection of villages in what is today Eastern New York State, from the earliest recorded accounts. Samuel de Champlain first wrote of the Kanienkehaka on the western shores of the present day Champlain Lake. Their tradtional lands were along the Mohawk River in Central New York State, and had several trading posts and seasonal camps throughout New York State and Canada.

Today they live in the following communities,

Inland New York:

Ganienkeh

Kanatsiohareke

Along the St Lawrence:

Akwesasne or St. Regis

Kanesatake

Kahnawake

Southern Ontario:

Tyendinaga

Wahta or Gibson

Six Nations of the Grand River