Challenge: US state with "Q" (no Quebec or Sequoyah)

This answer is a little silly

Fearing that they would be ultimately dominated by Massachusetts, the government of Rhode Island purchases large tracts of land from Connecticut shortly after the revolution. The citizens of Connecticut demand revisions to the state constitution, which Rhode Island officials agree too. To mark a 'new beginning' for the state, the fusion of Rhode Island and the purchased Connecticut land is named Quahog after the Narraganset word for hard clam to evoke the bounty of the sea.
 
Q is the only letter which does not appear in the name of any of the fifty states of the US. Challenge: get a US state with Q *without*

(1) annexing Quebec, or

(2) having a State of Sequoyah http://en.wikipedia.org/wiki/State_of_Sequoyah

A U.S. state by the name of Iroquois might be a good solution to this, I think: it might require a POD right around the start of the Revolution, but it could certainly be done; how about *Upstate N.Y.(or at least a part of it)?

Alternatively, the U.S. manages to hold what would be, IOTL, Southwest *Ontario(though it could very well exclude York/Toronto, maybe as a concession to the British), after winning an ATL *War of 1812, and that just happens to be the chosen name of the new state carved out of that area of Upper Canada.
 
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