Woodburn is a city in Maumee Township, Allen County, Indiana, United States. The population was 1,551 at the 2020 census. In 1865 Josep…Woodburn is a city in Maumee Township, Allen County, Indiana, United States. The population was 1,551 at the 2020 census. In 1865 Joseph Edgerton and Joseph Smith platted the town of Woodburn, or Phelps Station as it was called at that time. The two men chose this area due to the abundant timber, fertile ground, and nearby river. After two large, accidental fires in the area Joseph Edgerton sent his son Edward Edgerton to Woodburn to sell off large tracts of land for farming.