Tinkerbell ranks at #608 with 203 entries, registered female. The name carries one of the most specific cultural anchors on the entire pet chart: Tinker Bell, the fairy from J.M. Barrie's Peter Pan (1904 play, 1911 novel) and the various Disney adaptations from 1953 onward. Picking Tinkerbell for a pet is a deliberate Disney-aesthetic statement.
The Disney-princess pet cohort
Tinkerbell sits with Belle, Ariel, Jasmine, and Elsa in the Disney-female-character naming pocket. Tinker Bell occupies a slightly different sub-cohort (fairy rather than princess) and brings a smaller, sparkly, sometimes-prickly energy to the register. The cohort skews toward toy breeds where the visual register matches the fairy size.
Breed lean
The name lands disproportionately on toy breeds — Chihuahuas, Yorkies, toy Poodles, Pomeranians, Maltese, Papillons (whose ear-shape literally suggests fairy wings) — and on cats with delicate features. The Paris Hilton overlay (her Chihuahua named Tinkerbell, prominent in 2000s tabloids) is a real anchor that pulled the name onto small dogs of all kinds.
The four-syllable problem
Four syllables (TING-ker-bell, often pronounced as three with the medial syllable elided) does not recall well across a yard. Most Tinkerbells get day-to-day called Tink or Belle. The full version comes out for license forms and Halloween costumes. The human Tinkerbell page shows essentially zero SSA presence; pet Tinkerbell owns the cultural space.