Montana is from Spanish montaña, which is literally just the word "mountain".And yeah, Montana, Wyoming, and Idaho were all floating around as names in the 1850's and 1860's just looking for a pretty mountainous area to be tacked on. They're all basically meaningless as place names.
Wyoming is from the Wyoming Valley of Pennsylvania, where (to my knowledge) the first white settlers were from, and is honestly a godawful name for a state, considering it's a word from a language (Munsee) indigenous to the entire other side of the country.
Idaho is even worse: its name was made up out of whole cloth by an (and I quote) "eccentric lobbyist" named George M. Willing who claimed it was Shoshone for "behold! the sun coming down the mountain", though it clearly wasn't, and who originally intended it for the territory that became Colorado.
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