The phrase "run a booth" is correct and usable in written English
You could use it to describe performing a task such as working at a carnival or managing a food stand. For example: "I'm going to be running a booth at the fair all weekend."
A ministry group called S.O.S. (Serving Our Savior) ran a booth that asked festival-goers, including the Strawberry Court, about their salvation.
BearHands ran a booth at Columbus Circle and one at the Southern Christmas Show in Charlotte, N.C., for 10 days in November.
Having a feeling of accomplishment was important for a lady, as long as what she accomplished was ephemeral, like running a booth at a church fair or finishing the spring cleaning of a summer cottage.
Many people will remember her many years of participation in Renaissance festivals and other fairs where she adopted the persona of "Mama JuJu" and ran a booth where she and others interpreted objects, cards and handlines for clients in search of guidance for their personal lives.
Since 2008 till now, during the World Health Carnival, HKICNA ran a booth to promote hand hygiene in the community.
Be prepared to do anything from construction to running a booth.
"People are still stunned and terrified to venture out," said Chakra Bahadur Rawal, who runs a telephone booth at Bailpata, near Mangalsen.
The story (as I've gleaned from reviews — I haven't read the book) concerns a twelve-year-old orphan — Hugo — who lives behind the walls of a Paris train station, where he meets, as Amazon's description says, "an eccentric, bookish girl and a bitter old man who runs a toy booth in the station".
On that particular day, she had the look of someone running a pottery booth at a folk festival: paisley velvet pants, red boots, large earrings, and curly auburn hair.
