Trenton is a city in Fannin and Grayson counties, Texas, United States. The population is currently 854. Settlers from Tennessee arrived fro…Trenton is a city in Fannin and Grayson counties, Texas, United States. The population is currently 854. Settlers from Tennessee arrived from their home state in 1852. At the time of their arrival, the settlement and surrounding area was known by the colorful name of "Wild Cat Thicket". With the arrival of the Missouri, Kansas and Texas Railroad, a townsite was platted by Dr. W. C. Holmes, a pioneer physician and editor of Trenton Tribune, and known as "the father of Trenton". The name "Trenton" was submitted to the postal authorities, and the post office opened under that name in 1881.