Folk and fairy tales are classified by ATU numbers after the listings in Hans-Jörg Uther's The Types of International Folktales (which updates the earlier Aarne-Thompson Types of the Folktale). ATU 825 is The Devil in Noah's Ark. A 1959 study of this tale by Francis Lee Utley was able to was able to draw on 275 recorded variants, largely but not exclusively from Eastern Europe. This version comes from Romania.

When Noah had built the ark, he kept the door wide open the animals to enter. After they had all gone in, his own family came, and last of all his wife.
    Noah said to her, “Come in.” She obstinately said, “No.” Noah again said, “Come in.” She again said, “No.”. Noah, getting angry, said, “Oh, you devil, come in.” The was just what the Devil was waiting for. He knew that Noah would not allow him to come in otherwise, and so he was lurking outside, waiting for an invitation. Not needing be asked twice, the Devil slipped onto the ark in the form of a mouse.
    When the Devil has nothing to do, he weighs his tail. But here he found plenty to do, for, he thought, now is an opportunity of putting an end to the whole of God’s creatures. So he started gnawing on one of the planks, trying to make a hole in it. When Noah surprised him at this devilish work he threw his fur glove at him. It turned into a cat, and, in the twinkling of an eye, the mouse was in the mouth of the cat.
    But Noah could not allow the peace of the ark to be broken, the animals had to live in peace with one another. So he seized the cat, with the mouse in her mouth, and flung her out of the ark into the water.
    The cat swam to the ark and, getting up to the doorstep, climbed on to the sill and lay down there to bask in the sun.
    There she remained until the water had subsided—and ever since then, the cat hates getting wet, and prefers to lie on the doorstep of the house in the sun.

Utley's study can be found in Alan Dundes, ed., The Flood Myth, 1988, a book which gathers together many fascinating essays on flood myths in world cultures; Erich Kolig's "Noah's Ark Revisited: On the Myth-Land Connection in Traditional Australian Aboriginal Thought" is particularly rivetting. The Romanian tale "Why Does a Cat Sit on the Doorstep in the Sun?" is part of a sequence of related stories in Moses Gaster, Rumanian Bird and Beast Stories, 1915. In 2001 I wove Gaster's stories into the text for a picture book, Noah and the Devil, illustrated by Isabelle Brent.

I apologise for my lack of updates recently. While I am well, and working away, caring responsibilities have been consuming  great swathes of time and energy, making progress slower than I would like. Meanwhile the piles of books to be read grow steadily higher! I've just acquired The Chariot of the Sun and other Rites and Symbols of the Northern Bronze Age by Peter Gelling and Hilda Ellis Davidson, a book that had somehow passed me by, though I knew Hilda Ellis Davidson quite well. It attempts to reconstruct the mythic world of Bronze Age Scandinavia, largely from the evidence of rock engravings.