Everdred is a character in Earthbound, or Mother 2, and he hangs out at his home in Burglin Park, which is located in Twoson. There is an optional battle with him, which I recommend since he is pretty easy. All you have to do is walk up to his house. He comes into the game every once in a while.
After you rescue Paula Polestar and bring her to her parents, she joins your party, and someone speaks to you outside her house. He says that Mr. Everdred would like to talk to you. After you go to his house, he gives Ness a wad of bills, which is $10,000, although this can't be used in stores. Ness shows this to the manager of the Chaos Theater, and he releases the Runaway Five from their debt.