There are a lot of places named after George Washington, and he never lived in any of them — including Washington, D.C., which was established as the nation’s capital shortly after he became president. (D.C. replaced Philadelphia as the capital thanks to the Residence Act, which was passed on July 16, 1790.) 

Washington, the only U.S. president who never lived in the White House, had three different residences during his two terms in office from 1789 to 1797: the Samuel Osgood House and Alexander Macomb House in New York City and the President’s House in Philadelphia. Washington did pick the location of the White House, which was built between 1791 and 1800, but John Adams was the first to move in.

“I … take the liberty of requesting the favor of you to engage lodgings for me previous to my arrival [in New York City for the inauguration],” Washington wrote in a letter to James Madison in March 1789. “On the subject of lodgings I will frankly declare, I mean to go into none but hired ones — If these cannot be had tolerably convenient … I would take rooms in the most decent Tavern …” 
The Osgood House was the solution, and Congress rented it for him for $845 a year. Washington moved to the Macomb House — which was larger and overlooked the Hudson River — once it became vacant, but lived there for only six months in 1790 before moving to the Presidential Mansion. The latter appears to have been his favorite place to hang his hat while president, as he once described the three-story brick building as “the best single house in the city.”