Murphy was a Starfleet officer and member of the engineering staff assigned to the USS Enterprise-D during the late 2360s.
In 2369, Murphy was assigned by Geordi La Forge to head an engineering team that covered gamma shift from 2300 to 0700 hours. This was one of a number of split engineering teams organized to accelerate Doctor Farallon's work. (TNG: "The Quality of Life")
This character was only mentioned in dialogue.