Crewman Fuller was a member of the crew of the Enterprise NX-01 during its mission in the Delphic Expanse. He was considered by Lieutenant Malcolm Reed to be the most knowledgeable in regards to the ship's torpedo systems.
Fuller became Enterprise's first fatality, when he was killed during a raid by Osaarian pirates in 2153. (ENT: "Anomaly")
There was also a female Crewman Fuller aboard Enterprise. In "The Expanse", T'Pol mentioned that "Crewman Fuller" informed her that a shuttle was arriving at Enterprise with two hundred snow beetles. However, since T'Pol did not use a specific pronoun to refer to this Fuller, it is unknown to which crewman she was referring.