Eggyhead's parents both have an influence on his current character in different ways. Eggyhead's mother actually left his father and him after his birth because of Eggyhead's visible disorder (his tongue sticking out is cause it's part of the disorder) and didn't want to accept that responsibility.
Eggyhead's father was actually a squadron leader for the Egg military and was Eggyhead's only parental figure for the first 11 years of his life, before he died defending his planet, although his efforts were in vain. He took a temporary retirement to care for his son, only leaving said retirement briefly for highly important conflicts.
Eggyhead's father was a loving but discipline-heavy father, which taught Eggy to work around the mental illness he had. He taught Eggy basic survival skills, some Egg Magic, which is how Eggyhead managed to survive alone for such a long time on his home planet. He also introduced Eggyhead to Christianity and encouraged him to follow it, leading to Eggy being a paladin.
Eggyhead's dad was one of very few people who treated Eggy with decency and respect, and scarred Eggy deeply when he lost him, still affecting him today.
The last thing, is that Eggyhead's father was a VERY tough fighter, he was the leader one of the most valuable teams in the Egg Military for a reason. He was 63 years old when he died (which is the Egg equivalent of being in your mid 30's). He was estimated by the military to be able to destroy entire continents if he ever realized his full destructive capabilities.
also his name was Nashikül (not all Egg names are puns)