Polyanna is a very specific term used in Pennysylvania, U.S.A. at Christmas. It means the same as 'Secret Santa' or 'Chris Kindle' and 'Kris Kringle'. Other contries have different terms. See Secret Santa in Wikipedia.
In the movie, Pollyanna grew up in the missionary and she said she wanted a doll, and her father asked for a second-hand doll, but when the missionary barrels came, they received a pair of crutches...
It can be on either or both. I would suggest gathering on Christmas eve with distant relatives just in case of a storm or something you can reschedule to Christmas, or you can have one day for...