Jeter was born in Lawrenceburg, Tennessee on August 26, 1952. His mother, Virginia (née Raines; May 6, 1927), was a housewife. His father, william Claud Jeter (March 10, 1922 – March 1, 2010), was a dentist. Jeter had one brother, william, and four sisters, Virginia, Amanda, Emily, and Larie. Jeter was a student at Memphis State University (now the University of Memphis) when his interests changed from Medicine to acting. He performed in several plays and musicals at the Circuit Theatre and its sister theatre, the Playhouse on the Square, in midtown Memphis. He left Memphis to further pursue his stage career in Baltimore, Maryland.