Find the Owlbear Cave in the Forest
Enter the cave and speak with the Owlbear
Leave the cave without harming the Owlbear
Return later after the Goblin Camp event progresses
Visit the cave again to find the Owlbear Cub
Do not kill the Owlbear or the Cub
Use Speak with Animals or similar dialogue options if available
If the Cub is at the Goblin Camp, win the Chicken Chase event
Rescue the Cub from the goblins
Long rest and check your camp for the Cub to appear