Question: Which Norwegian fairytale, published between 1841 and 1844 is the character, who in Julia Donaldson and David Roberts children story walks the plank, based on?

Context articles: The Snail and the Whale
David Roberts (art collector)
Monkey Puzzle (book)
The Troll
The Gruffalo
Julia Donaldson
Stick Man
Three Billy Goats Gruff
Axel Scheffler
Room on the Broom

The Snail and the Whale is a children's book by former children's laureate Julia Donaldson, illustrated by longtime collaborator Axel Scheffler.
 It has won several awards, including 2004 Early Years award for the best pre-school book, the 2005 Blue Peter award for Best Book to Read Aloud, and the 2007 Giverny award for Best Science Picture Book.
 "The Snail and the Whale" has also been adapted into an audiobook, a successful stage play and translated into British Sign Language.
David Roberts is a British property developer, contemporary art collector and founder of DRAF (David Roberts Art Foundation).
Monkey Puzzle by Julia Donaldson and Axel Scheffler is an illustrated children's book.
The Troll by Julia Donaldson and David Roberts is a children's story about a troll and some pirates.
 The troll in this story is based on the troll from the "Three Billy Goats Gruff" fairy tale.
 However, in this story, no goats ever cross the troll's bridge and he is forced to survive on fish that he catches from the river.
 He does encounter, in turn, a spider, a mouse and a rabbit, each of which convinces the troll not to eat them by telling him that he should try a bridge further down the river that is more suitable for capturing goats as he is "sick of fish".
 Meanwhile, the pirate captain Hank Chief and his crew (Peg Polkadot, Ben Buckle and Percy Patch) are searching for the treasure that is marked on their map, but are unable to locate the correct island.
 The pirates also display very poor culinary skills.
 Eventually, the troll reaches the sea and realises that he has been tricked by the other animals; he sees what he thinks are goat tracks in the sand and sets about laying a trap for the goat in a spot not too far from the location on the pirate's treasure map.
 He duly discovers an old chest when digging a large hole to ensnare his prey and throws away the "round shiny objects" he finds therein.
 He decides to lie in wait in the chest for the goat and falls asleep.
 Predictably, the pirates then arrive and make off with their "treasure"; upon opening the chest the pirates decide to make the troll walk the plank, until Peg discovers the troll's frying pan and cookbook.
 On discovering the troll's culinary talents, they agree to spare the troll and make him their cook.
 The troll is delighted and proceeds to tell the pirates that he will make them his favourite goat stew only to be advised, to his horror, that all the pirates desire is .
.
 fish.
The Gruffalo is a children's book by writer and playwright Julia Donaldson, illustrated by Axel Scheffler, that tells the story of a mouse, the protagonist of the book, taking a walk in a European forest.
 The book has sold over 13 million copies, has won several prizes for children's literature, and has been developed into plays on both the West End and Broadway.
Julia Donaldson MBE (born 16 September 1948) is a Scottish writer, playwright and performer, and the 2011–2013 Children's Laureate.
 She is best known for her popular rhyming stories for children, especially those illustrated by Axel Scheffler, which include "The Gruffalo", "Room on the Broom" and "Stick Man".
 She originally wrote songs for children's television but has concentrated on writing books since the words of one of her songs, "A Squash and a Squeeze", were made into a children's book in 1993.
 Of her 184 published works, 64 are widely available in bookshops.
 The remaining 120 are intended for school use and include her Songbirds phonic reading scheme, which is part of the Oxford Reading Tree.
Stick Man written by erstwhile Children's Laureate, Julia Donaldson, and illustrated by Axel Scheffler is a children's story about a anthropomorphic wooden stick who becomes separated from his family home and his "Odyssey"-like adventure to return there.
 He is eventually reunited with his family in the "family tree" as a result of his interaction with Father Christmas.
"Three Billy Goats Gruff" (Norwegian: De tre bukkene Bruse ) is a Norwegian fairy tale.
 The fairy tale was collected by Peter Christen Asbjørnsen and Jørgen Moe in their "Norske Folkeeventyr", first published between 1841 and 1844.
 It has an "eat-me-when-I'm-fatter" plot (Aarne-Thompson type 122E).
Axel Scheffler (born 1957) is a German-born illustrator and animator based in London.
 He is best known for his cartoon-like pictures for children's books, particularly "The Gruffalo" and "The Gruffalo's Child", written by Julia Donaldson.
Room on the Broom is a British children's book by writer and playwright Julia Donaldson, illustrated by Axel Scheffler, which tells the story of a kind witch and her cat who invite a number of other animals to join them whilst traveling on her broomstick.