If a God has a child, that child will have the strength of a God, but not the powers
Example: Traveler is strong but his body is human
If thier father dies(which is very unlikely since they don't really die of old age and only strong gods can kill other gods) they will lose their godlike strength but not their power.
Example: If Hee died, Traveler wouldn't be strong but would still be able to teleport anywhere