This is going to be impossible to answer definitively because we don't know exactly what materials the cloth was made of and what additives or dyes it may have

This is going to be impossible to answer definitively because we don't know exactly what materials the cloth was made of and what additives or dyes it may have contained or absorbed. If it was brand new I would be a lot more worried, if it has been previously washed a few times and only used to clean kitchen messes I would be less concerned. In very general terms polyester is food safe and they sell boiling bags made of polyester. Polyamide cooking utensils are advised not to be used above 70C due to potential leaching of contaminants, but there probably simply isn't very much material in terms of weight to create an issue. Overall, if it was a brand new cloth or had previously been used to clean toxic chemicals like motor oil, you should discard all of the remaining food. If the cloth had only been used food spills and previously washed...I still wouldn't eat it, but I could see why someone who is more chancey with their food might.