I was not believing either of those stories. And then I found this next one. Not really a story but more of a historical account.
It revolves around Katherine Lee Bates [1859-1929], an American poet, writer, and educator. She is best remembered as writing the words to "America The Beautiful". As a poet, she is known for the "long" poem "Goody Santa Claus On A Sleigh Ride" . She is credited with the notion that Santa had a wife. The poem is written from Mrs. Claus point of view.
Prior to the 1820's there was no Santa Claus, only a non-secular Bishop St. Nicholas who brought the gifts to all the boys and girls. It was later that St. Nick made the transition to a secular Santa. And behind every jolly man is a good wife. Bates never gives her a name but this is a poem about equality between men and women.
Goody Santa Claus depicts Mrs. Claus as wanting to accompany Santa on his Christmas Eve trip to deliver his toys to all the girls and boys -- not a stay-at-home wife. Instead, Santa's wife takes a feminist stance, demanding credit for her hard work in making Christmas possible including cooking to make Santa plump.
I guess we will never know.....