An example of what I mean: https://en.wikipedia.org/wiki/Nyarlathotep

Also, while it says Azathoth is his father, there's a lot of debate about whether or not the Outer God family tree Lovecraft created was serious or not. Just like there's a lot of debate over who's the actual ruler of creation, Azathoth or Yog, or if they co-rule, or if the former is just an aspect of the latter or the latter is just another part of the former's dream, etc.

Really it just comes down to what you like in your canon more.