I could only find these names had meanings but my other pets names do too just In my own creation lol.

Dream catcher.
Its a beautiful creation that catches all the evil dreams and only leaves the good and looks like a spider web and used in many Aborigonal tribes.

Whiteriver.
Free-spirited.
Gender.E
Origin./

Rain.
Meaning: Abundant Blessings from Above
Gender: E
Origin: American