Baggot began his career on the stage in a Shakespearean stock company and toured throughout the U.S. Following his first engagement, he performed under the management of Liebler and Company, one of the foremost producing companies at that time. He also toured under the management of Frohman, and the Shuberts, and played five weeks in New York in "The Queen of the Highway". Other plays in which he appeared include the comedy revival "Mrs. Wiggs of the Cabbage Patch", which had a run on Broadway in 1906, "Salomy Jane" and "In the Bishop's Carriage".