I'm going to try to get some information in here about ships named Montagu/e, etc.. There seems to be some interesting history... This is just a placeholder currently.

HMS Montagu was apparently a 74-gun ship-of-the-line. I'm under the impression that it was one of the "ringleader" ships of a fleet-wide mutiny that broke out to improve conditions in the fleet. (You will have to search for Montagu). This ship was part of Howe's "Grand Fleet" during the Napoleonic wars. One of this ship's captains, Peter Heywood, was a midshipman under Captain Bligh on the Bounty   [1] (you will have to search text for Montagu).

At one time this ship was under the command of James Montagu, 1752-1794.

I'm not sure if this is the same ship that was involved in a running battle with the USS Constitution   [1] and the Hornet (you will have to search for Montagu).

"By this time parliamentary wellwishers of France had dwindled to a handful, so Pitt had no trouble in passing a series of acts... against subversives. Habeas Corpus was suspended, newspapers and public assemblies subjected to licensing... criticism of the constitution or the established order became an offence. It was ... backed by the almost unanimous sympathy of the propertied orders... And although there was talk of insurrection here and there in the late 1790s, there was never any serious danger. When the fleet mutinied in 1797 against its appalling conditions, the influence of some 'Jacobean' propaganda was detected; but much more significant were the continued professions of loyalty by the mutineers. As the crew of the Montagu declared `there is no doubt if we ever do fall in with an enemy to our loving King and Country there is no doubt but we will let them know that we are Englishmen and men which are true to our Country.'" (William Doyle, The Old European Order)

Well, it isn't named Montagu/e, but it was named after a Montagu's title... and it's probably the second most famous ship in the world, after the Santa Maria (well, Ok, if you don't count the Titanic!)! This ship has a scientific journal and a space shuttle named after it...

It's the Lord Sandwich, but it was at one time Captain Cook's ship, the HMS Endeavor. This spunky little collier (a small cargo ship for hauling coal) is likely at the bottom of Newport Harbour, Rhode Island, in 20 feet of water. After the Endeavor's career as an exploration vessel, she was renamed and sold back into the coal business in 1771, and apparently finally ended up being used as a British prison hulk. In 1778 some of the prison hulks, including the then named Lord Sandwich, were scuttled in Newport harbor on the approach of the French fleet. The location of the Endeavour apparently was lost until recently... and to think, there's been an 80-foot timber visible off a Navy pier for years...

My source for this is an AP story by Gillian Flynn in the 12-March-1999 San Jose Mercury News, regarding the work of marine archaeologist D.K. Abbass at the University of Rhode Island.

http://www.montaguemillennium.com/familyresearch/ships.htm