Alan Peterson

Mr. and Mrs. Peterson even break their long abstinence with a bottle of champagne to toast their daughter, who is bound for Columbia grad school, or—perhaps—the Iowa Writers’ Workshop.

Button Box explicitly identifies Mr. and Mrs. Peterson as Gwendy’s parents throughout her childhood and graduation. Final Task names the same father Alan and mother Alicia; Magic Feather already uses these existing identities for the intervening parental scenes. This is a continuous uniquely identified family, not a surname-only match.

He’d despised his time in Derry, and fled the town as soon as the opportunity presented itself. Although usually practical to his bones, Alan Peterson told his daughter he believed that some places were built on bad ground, thereby ensuring they would forever remain cursed. He insisted that Derry was one of those places.

Gwendy's father, recounting his experience working in Derry.

In late January 1985, Mr. Peterson follows behind Gwendy on the interstate—pulling a U-Haul trailer full of secondhand furniture, cardboard boxes stuffed with clothes, and more shoes than any one person should own—and helps her move into a rented second-floor downtown apartment.

Gwendy's father helping her move; same father named Alan in Final Task, with continuity through Gwendy and her family.