Is there a creature in mythology that is a frost bird or a frost phoenix?

Question

I searched a lot but I couldn't find a creature that is similar to a frost phoenix or a frost bird, or a giant creature similar to a frost bird for example.

It's for a project (I like to keep real mythology in my story) and I want something as close as this as possible.

Answer 1

The Pomola is a snow bird spirit in Native American mythology, it lived on Mt Katahdin and caused cold weather

In Penobscot folklore, the Pomola was a bird spirit that lived on Mt Katahdin. It was associated with night, wind, snow, and storms. Apparently it had a moose's head according to some legends. The Penobscots and Abenakis avoided climbing to the top of this mountain so as not to disturb it.

Answer 2

In Greek mythology, the giant Alcyoneus had seven daughters: Phthonia, Anthe, Methone, Alcippe, Pallene, Drimo, and Asteria.

When their father was slain by Heracles, they threw themselves into the sea, and were changed into ice-birds.

To be more specific, the species they transformed into was the kingfisher.

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_{source: http://www.perseus.tufts.edu/hopper/text?doc=Perseus:text:1999.04.0104:entry=alcyonides-bio-1&highlight=}