If the governor of Wyoming dies while in office, the lieutenant governor will take their place. The lieutenant governor will stay in office until a new election.
The Lt. Governor replaces the Govenor
Lt. Gov.
The Lt. governor.
the Vice president
it dies
The Secretary of State assumes the power of the Governor when the current Governor dies, resigns, or leaves office for other reasons. The current Secretary of State in Arizona is Jan Brewer, a Republican. The current Governor of Arizona is Janet Napolitano, a Democrat, who is currently being considered to become part of President-Elect Obama's cabinet.
If the governor of Texas dies, resigns, or is removed, the lieutenant governor will take his place until reelection.
extinction
The Governor can appoint someone to take his place until the next Federal election comes about.
According to the Idaho Lieutenant Governor's website (refer to the link, below), the Lt. Gov. would take over as Governor in the event that the Governor leaves the State or is incapacitated or worse.
the vice president takes his place
plant or trees