Lizton is a town in Union Township, Hendricks County, Indiana, United States. The population was 488 at the 2010 Census.It is one of the three towns (Pittsboro and North Salem being the other two) that make up North West Hendricks School Corporation.istory [edit]. Lizton was originally called New Elizabeth, and under the latter name was laid out in 1837 by Jesse Veiley, and named for his wife, Elizabeth.