I don't mean to be pessimistic, but my family would probably die. I will answer your question as trying to clothe a single person.
If I was put into that scenario, I would pillage for clothing. If clothing is in such short supply though, we can pick off the corpses clothing and boil it, bleach it, everything I can to make them clean. If it is too risky, I wouldn't hesitate to steal clothing from other people. The endangering of those I steal from will be a burden, but it wouldn't be the first. I will only take a few pairs of clothing, especially shoes. Because other people must survive as well.
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Boiling water is a good idea.
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Thank you, also since you mentioned no materials to make clothing were around, animal pelts are out of the question?