Well I have had food poisioning for almost two days and since last night I have been burping rotton eggs and have not ate any eggs. Do you know why I would be burping rotton eggs if not ate any?

You could be eating too much sulphuric foods or it's the after effects of the food poisoning
Sulphur in Food

Protein sources like meat, fish, poultry, legumes, eggs, milk and wheat germ are rich in sulphur. Plant sources include asparagus, kale, Brussels sprouts, garlic and onions.

You might want to try a good digestive detox