Center of town square, Fairfield, Iowa 52556 | View Map. | Visit Website | Email. Central Park is located in the heart of downtown Fairfield, Iowa, along West Burlington and North Main Street on the square in Fairfield. Often the site of festivals, First Friday Art Walk, ceremonies, concerts and dance performances, Central Park is brightly lit with holiday decorations and Santa's Hut each December. Contains bandstand gazebo, permanent benches, bronze sculpture, rose garden and walkways.