Career
Prior to 1779, Elliott along with Review Edward Markland, founded a classical school at Easton, Maryland. This school was combined in 1779 with a school conducted by Review
John Bowie to form the Easton Academy.
In this venture, Elliott was professor of mathematics, history and geography. The venture was not a lasting success due to the incompatible temperaments of the various professors.
Thereafter Elliott relocated to Strasburg, Pennsylvania, where in late October 1802, he advertised the opening of an academy under his superintendence, on January 1, 1803. On December 1, 1806, Elliot was appointed chaplain of the United States. House of Representatives.
Reverend Elliot later served as Chaplain of the Senate.
In Washington, Elliott was also the principal of the Eastern Academy school on Capitol Hill, which opened on May 19, 1806.