candidates supported by both major parties
As early as the first Federal elections in 1788, there were candidates, who while alligned with one party or another, was supported in the press by both parties in a particular election.
House of Representatives
House of Representatives: the lower or popular house of the United States Congress or of a State legislature. The name of the lower house in all states prior to 1825 except for Maryland and Virginia, (House of Delegates), New Jersey and New York (Assembly) and North Carolina (House of Commons).
Oxford English Dictionary
1787 - 1825: Alabama, Connecticut, Delaware, Georgia, Illinois, Indiana, Kentucky, Louisiana, Maine, Massachusetts, Mississippi, Missouri, New Hampshire, Ohio, Pennsylvania, Rhode Island, South Carolina, Tennessee, Vermont
Office Scope: State
Role Scope: County / District / Town(ship) / Parish