I'm a FULTON hunter ... researching "Joseph Falconer Senior" who witnessed the Will of Robert FULTON, butcher, of Southwark, Philadelphia Co, PA, in 1780. He could easily be the elder Joseph Falconer mentioned in the previous message.
"Children of Joseph & Rachel Falconer: Joseph Falconer, b. 19 Jun 1763 Catherine Falconer, b. 14 Sep 1765 Rebecca Falconer, b. 26 Dec 1767"
In October 1780, William Shute, William Hunter, and Joseph Falconer Sr witnessed Robert Fulton sign his will. [Philadelphia County Will Book R, page 343.]
If this is a match (?), then this Falconer family was living near Philadelphia, PA, in 1780.