In 1961, Meriwether guest starred once as Gloria in the episode "Buddy and the Amazon" on her first husband's (Frank Aletter) one-season CBS sitcom, "Bringing Up Buddy". She also appeared in "Leave It To Beaver" episode "Community Chest" in season four. In 1962, she was cast as Martha Elweiss in the episode "My Child Is Yet a Stranger" on the CBS anthology series, "The Lloyd Bridges Show". She played Nurse Dickens in a 1962 episode of the ABC sitcom, "I'm Dickens, He's Fenster". From 1963 to 1965, she was cast in different roles in eight episodes of the NBC medical drama, "Dr. Kildare". In 1964, she played the character Jeanelle in "This Is Going to Hurt Me More Than It Hurts You" on the CBS adventure series, "Route 66". In 1965, she appeared in an episode on "The Jack Benny Program" as The Secretary. In a 1965 episode of "12 O'Clock High", "Mutiny at Ten Thousand Feet", she played Lieutenant Amy Patterson, and in the episodes "The Idolator" (also 1965) and "The Outsider" (1966), she played Captain Phyllis Vincent. She also guest starred in the season 2 episode "Big Brother".