Susan Oliver plays the spoilt titular character in the episode "The Maggie Hamilton Story" from Wagon Train, who are hired to find her after running off once too often. In this scene with Flint McCullogh (Robert Horton) it's come to a head as he catches up with her and prepares to bring her home, only for her to pull a gun out on him. But Flint has a surprise for her and once she's realized what it is, he then has another in the form of punishment he is going to give her in a good old fashioned spanking to knock some sense into her head - though he seems a little misdirected here.
As for the actress concerned, Susan Oliver, she was born Charlotte Gercke in February 1932 (I wonder why she changed her name?) and made her screen debut in 1957, with numerous TV appearances. Her most famous was in the original pilot episode of Star Trek in 1964 as Vina, where she was painted green as an Orion Slave Girl. She was also a director of many features and was a qualified aviator as well. Sadly Susan died fairly young of cancer at the age of just 58. She certainly shows some star talent here.