What is is a type of emergency that potentially could require first aid?

Anything...

if its an 'emergency' then first aid will most likely be required! and its a basic life skills to have. I would say that anything that has, or could, cause any degree of harm would need first aid... first aid could just be giving some TLC! I would suggest that you try and book on a first aid course as they will cover all this for you! i might be foolish here but i am in the uk... i don't know where you are, i went on a great course with the national school of first aid training in Glasgow a few months ago! they were great.