Wheaton is a census-designated place in Montgomery County, Maryland, United States, situated north of Washington, D.C., and northwest of downtown Silver Spring. Wheaton takes its name from Frank Wheaton, a career officer in the United States Army and volunteer from Rhode Island in the Union Army who rose to the rank of major-general while servin…Wheaton is a census-designated place in Montgomery County, Maryland, United States, situated north of Washington, D.C., and northwest of downtown Silver Spring. Wheaton takes its name from Frank Wheaton, a career officer in the United States Army and volunteer from Rhode Island in the Union Army who rose to the rank of major-general while serving before, during, and after the Civil War.