The name Montague references a lot of things: a grilling and cooking company, a town on Prince Edward Island, a city and county in Texas (and, in fact, 8 other cities in the United States), and that famous family of which the ill-fated Romeo was a part in William Shakespeare's timeless tragedy Romeo and Juliet.
The name itself comes from the French surname Montagu, itself a bastardization of Mont Aign, an extant district in pre-Normandy France.
Today the Montague name is best represented by the Montage Millennium project, a curiously outdated website found at http://www.montaguemillennium.com, whose sole intention is to account for and chart the entire geneology of the Montague family name throughout recorded history.
Perhaps the most famous Montague (besides Shakespeare's star-crossed lover) is the American philosopher Richard Montague, whose linguistic theories on quantification and type theory gave rise to the term "Montague grammar."