The ship's name is prominently displayed in episode 104 of The Twilight Zone, "The Thirty-Fathom Grave", first aired in 1963.
A scene showing the Edson, DD-946, is in the March 24, 1963 episode (entitled "Operation Stowaway") of the television series Ensign O'Toole; portraying the series DD, the (fictitious) "USS Appleby", near Washington, D.C.