I think the ghost asking anon means they wonder if you have ever looked into reports/claims of the founding fathers appearing as spirits. Such as the popular beliefs of Lincoln still roaming the White House and George Washington riding a horse through Gettysburg.
I heard Benjamin Franklin’s ghost has been claimed to haunt the Philosophical Society in Philadelphia. A cleaning lady in 1880 said she had an accounted with his ghost and this was not in the age were one were prone to concoct stories as such. He ghost has supposedly also been seen outside of the building–apparently he was doing a “jig”. You can read more about this here.
Josiah Quincy III claimed to have a spiritual interaction while at Mount Vernon in the early part of the 19th century. Quincy had visited Mount Vernon to meet with Bushrod Washington, George Washington’s nephew in the spring of 1806 and it was a story that he himself had not remembered due to his age, however, it circulated around the family. Quincy was staying in Washington’s bedroom–the room where he also died. While staying in the room, his father supposedly saw Washington’s ghost. You can read more about this here. His ghost has been sighted in six different locations. You can read more about this here.
A few have reported seeing the ghost of John Adams at his home in Quincy, near Boston where it is said to be rather “glum”. You can read more about this here. The ghost of Abigail Adams has reportedly been seen hurrying toward the East Room of the White House, which is where she used to hang her laundry [x]. She can be recognized by the cap and lace shawl she favored in life. It is also said John Quincy Adams haunts the House of Representatives where he died. You can read about that here.
It has been reported that Thomas Jefferson plays his violin in the yellow room and his ghost has been seen a few times around the halls [x]. There have also been reports of people witnessing Jefferson’s ghost wandering the grounds and whistling, something that Jefferson was prone to doing as he toured the property [x].
There are no records of a James Madison ghost ever been seen anywhere but a few times at his plantation Montepelier in Virginia. You can read more about this here, however, the ghost of Dolley Madison sure enough has. Apparently, when the second wife of Woodrow Wilson, Edith Wilson, occupied the White House, she ordered gardeners to dig up the Rose Garden that Dolley had planted nearly a century ago. They never started because her ghost arrived to upbraid the workmen for what they were about to do to which the men fled from the scene. Not a flower was disturbed and Dolley’s garden continues to bloom today. You can read more about this here. She also haunts the Octagon house.
Alexander Hamilton possibly haunts the home where he was initially brought after being shot in a duel with Aaron Burr; 27 Jane Street. The tennant says she has been aware of footsteps, creaking stairs, and the opening and closing of doors; and even the unexplained flushing of a toilet. On one occasion, she found the toilet chain still swinging, when there was no one around. She also has seen a blurred “shape,” without being able to give details of the apparition; her upstairs tenant reports that one night not so long ago, “a man in eighteenth-century clothes, with his hair in a queue” walked into her room, looked at her and walked out again. You can read more about this here.
The ghost of James Monroe has been sighted around Hollywood Cemetery in Richmond, Virginia where he is buried. Monroe’s ghost has been said to rub his left shoulder as if reminiscing from when he was shot at the Battle of Trenton. His ghost is said to be calm and undramatic. The ghost of Monroe lingered in the Marble Cemetery in Lower Manhattan where he was initially buried in New York before sightings changed to where he was again laid to rest twenty-seven years later in a different place. There have been no sighting of Monroe at the White House or of his wife, Elizabeth Monroe, however, their two daughters Maria Hester Monroe Gouveneur and Eliza Monroe Hay are sometimes seen at the White House. Eliza’s ghost showed up during James Buchanan’s presidency and was rude, popped up out of no where and rearranged cards. Maria has been seen at the Decateur House where she appears distraught. You can read more about this here.