Well if we're going for something realistic, then the only thing I can think of is that the clothes are plagued/infected with a bug of some kind that she has to get rid of to stop them from spreading (by burning the clothes I guess).
Or the women might have made a campfire but doesn't have any firewood so she uses her clothes as fuel (it would be the question of why she's wearing flammable clothes in the first place).
Surprisingly hard thing to come up with.
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