Crosby is a census-designated place in Harris County, Texas, United States. The population was 3,417 at the 2020 census. The site north of U.S. Route 90 was an encampment nicknamed Lick Skillet in 1823 by Humphrey Jackson, one of the 300 original colonists to settle Texas. The name "Lick Skillet" came from the phrase, "The East Texas oxen tea…Crosby is a census-designated place in Harris County, Texas, United States. The population was 3,417 at the 2020 census. The site north of U.S. Route 90 was an encampment nicknamed Lick Skillet in 1823 by Humphrey Jackson, one of the 300 original colonists to settle Texas. The name "Lick Skillet" came from the phrase, "The East Texas oxen team drivers sipped the spring sweet water and licked their skillets clean."