I don't know if this is the Daniel you are looking for in Fauquier Co., but in the book by John Alcock "Fauquier Families 1759-1799", he is mentioned:
Daniel Crump, paid taxes 1789. Deed Book 13, pg. 101 1795 - bond to Benjamin Crump to cede rights to land near Elk Run Church formerly owned by uncle George Crump; witnesses included Nancy and Catherine Crump.
There is also a good bit of info on his father John if you want that.