Big Daddy is the founder of the Sons of Calydon and yes, he raised Caesar as his own which is why she succeeded him as leader. He's a red boar thiren. There's a single piece of concept art and one in game render of him floating around.
I wasn’t aware of that, but it is interesting that he’s a red boar thiren when Lucy has her three little boars. It makes me think that either Lucy was really inspired by Big Daddy or inherited them from him or something like that. That also potentially adds a layer to the Caesar-Lucy rivalry if Lucy is inspired by Big Daddy and thinks that Caesar isn’t properly fulfilling his legacy.
I also think the girl from the city is Lucy. If you pay attention to some stuff in game Lucy comes from a wealthy family and ran away to the outer rim.
I’ve always been bad at identifying voices and don’t know much about Lucy’s lore so I wasn’t confident it was her, but it makes a lot of sense to me that it is her.