@ComedyRichard M. Nixon was (re)elected President of the US, with a fellow named Spiro Agnew (anagram: "Grow a penis") as his running mate (Vice President) in '72.
In '73, Agnew resigned as Vice President due to a corruption investigation into monies he took before (and into) his term(s) as VPOTUS. Nixon selected the Speaker of the House of Representatives, Gerald R. Ford, as being a guy that would be easy to get congressional approval for VP (the early 70's was prime Cold-War territory, and the Speaker is #3 in the order of presidential succession).
So GRFord was not nominated for VP, never was elected as VP, but became VP because of "this one simple trick."
Some time later, in '74, Nixon resigned as POTUS due to the Watergate scandal. Ford was then promoted from VP to POTUS. Still never won a national election, nor ever campaigned at a national level.
If you snoop around on Wikipedia you can find a list of the various cabinet secretaries and department heads during the Nixon/Ford era. It is somewhat disturbing how many names remained in play in DC for an entire generation. GHWBush, Cheney, Rumsfield, etc.
Ford served long enough that the 25th(?) amendment timer kicked in -- he could run for one re-election as President, making 74-76 and 76-80 (or some later term) his "two terms." He would not be able to run for more terms, per the "FDR amendment".
In 1976, the Republican primary put Ford up against Reagan and another guy (who got few votes). Reagan lost to Ford, but would come back again in a few years.
Ford went on to lose to Jimmy Carter in the 1976 general election. He won his primary, finally campaigned nationally, but still never won election as President or Vice President. (And this answers the question: the GOP definitely supported him for his re-election bid.)
Carter served one term, undone by the Iran Hostage crisis and the failure of Operation Eagle Claw. Reagan took power in 1980, and ... yeah.