Anthony Township was formed from part of Lycoming Township on September 7, 1844, by the Court of Quarter Sessions of the Peace of Lycoming County, Pennsylvania. It is named in honor of Joseph B. Anthony who was a judge in Lycoming County at the time. When colonial settlers first arrived in what is now Anthony Township they were outside the western boundary of what was then the Province of Pennsylvania. These settlers were not under the jurisdiction or protection of any type from any of the Thirteen Colonies. They became known as the Fair Play Men. These men established their own form of government, known as the "Fair Play System", with three elected commissioners who ruled on land claims and other issues for the group. In a remarkable coincidence, the Fair Play Men made their own Declaration of Independence from Britain on July 4, 1776, beneath the "Tiadaghton Elm" on the banks of Pine Creek. A German Baptist congregation was incorporated on February 8, 1879, under the title of the "German Baptist Church of Anthony Township". It was one of the first German Baptist churches founded in America along with two other churches in Lycoming County, one on Blooming Grove Road north of Williamsport and the other in Fairfield Township near Montoursville. These churches were more commonly known as the Dunker or Dunkard Churches for their practice of immersing believers three times, once each in the names of the Father, of the Son, and of the Holy Spirit. A spur of the plank road along Larrys Creek was built into Anthony Township, but it is not known how far it extended..
As of the census of 2000, there were 904 people, 306 households, and 260 families residing in the township. The population density was 57.0 people per square mile. There were 319 housing units at an average density of 20.1/sq mi. The racial makeup of the township was 99.45% White, 0.33% Asian, and 0.22% from two or more races. Hispanic or Latino of any race were 0.44% of the population. There were 306 households, out of which 37.3% had children under the age of 18 living with them, 77.1% were married couplesliving together, 5.6% had a female householder with no husband present, and 15.0% were non-families. 10.1% of all households were made up of individuals, and 4.2% had someone living alone who was 65 years of age or older. The average household size was 2.95 and the average family size was 3.19. In the township the population was spread out, with 27.0% under the age of 18, 7.4% from 18 to 24, 32.9% from 25 to 44, 23.5% from 45 to 64, and 9.3% who were 65 years of age or older. The median age was 37 years. For every 100 females there were 108.3 males. For every 100 females age 18 and over, there were 108.2 males. The median income for a household in the township was $44,583, and the median income for a family was $47,431. Males had a median income of $32,875 versus $20,096 for females. The per capita income for the township was $15,932. About 5.8% of families and 7.2% of the population were below the poverty line, including 7.6% of those under age 18 and 17.6% of those age 65 or over.