President Washington visited Providence, Rhode Island several times spanning from April 1776 through the presidency — see: https://www.mountvernon.org/library/digitalhistory/digital-encyclopedia/article/rhode-island/
A few sources document the president’s visit to Cole family at the historic Farmhouse. Here’s one:
The Cole home has been preserved in as nearly as possible the form in which
it was when early members of the Cole family entertained Washington and
Lafayette, and contains among other relics of that day the chair in which
the commander-in-chief sat.
(source: http://theusgenweb.org/rigenweb/articles/170.html)
Providence Journal published an article on July 4, 1969, titled “An Irish Aside to Fourth of July” which features Miss Dorothy Denison Dunlop, a former owner of Cole Farmhouse, . Here’s what Miss Dunlop reported.
George Washington is known to have visited the deputy governor of Rhode
Island, Darius Sessions there. Sessions married into the Cole family”
The historic Cole Farmhouse in Providence, RI
Now available at Airbnb
The historic Cole Farmhouse 