The town was named in honor of General Ulysses S. Grant, as many residents in the area had supported the Union during the American Civil War.

[4] In 1924, the Daughters of the American Revolution (DAR) established the Kate Duncan Smith DAR School in Grant as part of a program to build schools in areas that lacked access to public education.

[4][5] Grant is located in northeastern Marshall County at an elevation of 1,240 feet (380 m) on the plateau of Gunters Mountain.

According to the U.S. Census Bureau, the town of Grant has a total area of 1.9 square miles (4.9 km2), of which 2.71 acres (10,961 m2), or 0.22%, are water.

[1] A historic cave, Cathedral Caverns, lies 5 miles (8 km) north of Grant near Kennamer Cove.

As of the 2020 United States census, there were 1,039 people, 375 households, and 286 families residing in the town.