There are three spawn locations at the Cinnamon Crest Falls. The place where you saw the bird, a turtle spawn close to the water but on the stone and a rodent one back at the foot of the trail where the two trees are.
There is a bird spawn next to the firehouse, middle of the football field, across from junkyard in front of big boulder, where two trails meet near the starter home with the lake. There is a bird, snake and lizard spawn next to the criminal building. A snake spawn next to the equestrien center on the side with the ponds. A turtle spawn near the horse ranch between it and the Bedlington Place. There's a rodent spawn behind the science center. A lizard spawn in front of the graveyard. A snake spawn in the graveyard in the bottom right and a bird spawn in the graveyard near the pet cemetery.
There is a turtle spawn under a tree at the bottom off the hill from the middle of town towards the big empty 64x64 lot. Another bird spawn if you follow that trait to the street next to the Millers and the empty lot. I saw another spawner near the dinosaur shack but it was behind it on the hill.
There is a rodent spawn at the end of the road behind the guard rail next to the Singleton brothers' home.
Sorry I can't be more specific I actually uninstalled Pets for a bit.
