Zebediah Hugson aka "Zeb" is a distant cousin of Dorothy Gale. He is one of the main characters in L. Frank Baum's fourth Oz book, Dorothy and the Wizard in Oz, published in 1908. Zeb lives in San Francisco where he works for his uncle, Bill Hugson, at the Hugson's Ranch.
Dorothy met Zeb when she and Uncle Henry came to San Francisco to visit. When Zeb picked Dorothy up at Hugson's Siding, she was accompanied by her cat, Eureka. He arrives in a carriage pulled by his horse, Jim, and on their way to the ranch there is a terrible earthquake and they all accidentally fall into the cracks of the Earth that open up. After falling for a very long time, they light in the Land of the Mangaboos where the people consist of vegetables. The Wizard of Oz also arrives there, and the Mangaboos evict them from their country.
They take a subterranean journey through the Valley of Voe, are briefly imprisoned in the Land of Naught, and encounter a cavern full of Dragonettes. Eventually they come to a dead-end cavern, where Ozma uses the Magic Belt to bring them to the Land of Oz.
In the Emerald City Jim runs a race against the Sawhorse, and when one of the Wizard's Nine Tiny Piglets goes missing, Eureka is put on trial. Eventually the Wizard is invited to stay in Oz, but Dorothy, Zeb, and their animals decide to return home. (Dorothy and the Wizard in Oz)