New Boston is a city in Bowie County, Texas, United States. Boston was named for an early storekeeper in the settlement, W.J. Boston. The coming of the railroads led to the location of two more Bostons. A depot was built approximately four miles north of Boston and was named New Boston. The original Boston then became Old Boston. The courthouse was moved to Texarkana in the early 1880s, but a later election carried to move the courthouse back to the geographic center of the county.