Nixon's running mates were Dwight Eisenhower as a Vice Presidential candidate, and Spiro Agnew as Presidential candidate.
Gerald Ford did not run with Nixon, though he later became his Vice President.
They are called running mates when they are running for election.
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Candidates for President get to choose their own running mates.
The Twelfth Amendment
Spiro Agnew ran as his Vice President in 1968 and 1972, Henry Cabot Lodge ran with him in 1960
According to Wikipedia's article on "Running Mates", presidential running mates began around 1860. FYI: Originally the second choice presidential candidate became vice president. In 1804 Pres/Vice pres began running on separate ballots.
Patricia Nixon
As of September 2014, Hillary Clinton has not yet announced that she is running for president. She has not announced any possible running mates.
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