Names out West are not like names out in the Old New World, but rather an exquisite form of trolling... even many of the native american names for territories were derogatory references to "those crazy tribes over the hills", like if we officially called places Redneck Forest and ValleyGirl Valley.
Washington State was so named because they originally asked the US Congress to name them Columbia (hey, the Columbia River flows through here, and we're right under British Columbia, and Lady Columbia features prominently on the state flag. But no, Congress was busy forming the District of Columbia from swamp lands generously annexed from Maryland and Virginia at the time, and they didn't want to get confused with a bunch of rowdy Westerners. FINE, the rowdy Westerners responded. We'll pick something ELSE.
That said, it'd be neat to have Mt. Rainier renamed to the native Mt. Tacoma, which means something like "mother of the rivers". But it will never fly because that's one of the things the City of Tacoma tried to do back when they were trying to wrest money and prestige from the City of Seattle back in the railroad prospecting corruption days.