From ti20n on CurseForge:

Might be nice to add map entries to show how to obtain [Living Mud Mask] pet (Thaldraszus) and [Bugbiter Tortoise] pet (Waking Shores).

Living Mud Mask

From Wowhead comment:

To get this pet, you must first acquire the Derelict Sunglass from Mudgatu from the Serene Dreams Spa just north of Valdrakken. Once you turn the quest in, follow the quest giver over to the floating island and talk to him where he's lying on the floor. He'll spawn a mud mask that runs off to the tree branch located behind the large bronze dragon Barozdormu. Jump onto the tree branch and the quest Special Treatment will become available, awarding you the pet once you turn the quest in to Zeldis.

Bugbiter Tortoise

From Wowhead comment:

First you need to find Petrified Dragon Egg. It seems like it spawns in multiple places in The Waking Shores, but I was able to find mine in the cave at 36, 90 after multiple rounds of realmhopping (I suggest looking for groups for Keys of Loyalty or another that require a lot of people and that have auto-invites on). The egg is pretty nondescript and small and isn't highlighted in purple like other treasures, so it might be difficult to spot.

Secondly, you need to find Eroded Fossil. I found it in the water at 22.1, 95.5—quite easy to find.

Once you have both these items, talk to Cymre Brightblade at 22.8, 95.1. Hand her the items and you'll receive the pet.