The Bujold movie was Coma. She was climbing a ladder fixed in place to the air shafts in a hospital, trying to find the source of the high incidence of coma death the hospital was experiencing. The ladder was metal with round rungs and her feet kept slipping, so she kicked off her shoes. But her stockinged feet were just as slippery, so she dropped her pantyhose down to the bottom of the ladder with her shoes. Then she crawled through the air shafts for a while and eventually removed a screen that let her back into the populated part of the hospital. The sequence ended with her running through the halls...with shoes on her feet. She must have carried a spare pair, for emergencies.

I don't know the Holly Hunter movie.