L. Cole was a member of Starfleet in the 22nd and 23rd centuries.
In 2155, Cole was listed on the directory at the Fleet Operations Center on Earth. (ENT: "Demons")
In 2285, Rear Admiral Cole was listed on a directory placard as Supervisor of Curriculum on the 2nd level of Starfleet Training Command at Starfleet Academy. (Star Trek II: The Wrath of Khan)