The communities of Zoar, Cozaddale, Murdock, Hopkinsville, Dallasburg, and Fosters are located here.

[4] It is named for Alexander Hamilton,[5] as are similar townships, in Franklin, Jackson, and Lawrence counties statewide.

The township is governed by a three-member board of trustees, who are elected in November of odd-numbered years to a four-year term beginning on the following January 1.

Mail is delivered through the Maineville, Loveland, Goshen, South Lebanon, and Morrow post offices.

The major roads are US Route 22/Ohio 3, also known as the 3C Highway and originally known as the Cincinnati, Montgomery, and Hopkinsville pike.