Me and my friend ~XxRheaAngelxX (https://www.deviantart.com/xxrheaangelxx) were talking about many random things we then started talking about the greek gods and goddesses and seeing who the best parents for protagonists without both parents would be, we then came to the concluson that Katniss was the daughter of Apollo.
Reasons:
Does not go into very much detail on father (could be anyone)
Amazing hunting skills
Good singing voice
clothes burning like the sun