Myfanwy
The Torchwood Pteranodon was a pteranodon which was kept by Torchwood 3 as a pet.
History
The pteranodon was caught in the Cardiff rift and brought into 21st century Cardiff.
- Jack implied that it originated, not from the distant past of planet Earth, but from an alternative timeline in which its kind had never gone extinct. (TW: Meat)
It was originally found hunting in the countryside, killing sheep at night. (TW: Everything Changes) Eventually, Ianto Jones was able to trap it in a warehouse and was able to persuade Jack Harkness to help him catch it. (TW: Fragments)
Jack Harkness was later able to use the pteranodon to attack Lisa Hallett, mortally injuring her. (TW: Cyberwoman) The pteranodon, on the other hand, survived the encounter. (TW: Meat)
Personality
The Torchwood Pteranodon came and went from the main base as it pleased, entering through a large opening on the ceiling. It was well trained, being called by a signal from Jack Harkness's wristwatch and only eating food with a certain "barbecue sauce" on it, which Suzie Costello had developed. (torchwood.org.uk, TW: Cyberwoman) The pteranodon also had a fondness for dark chocolate. (TW: Fragments)
Behind the Scenes
The in-universe Torchwood website refers to the creature as a pterodactyl, rather than a pteranodon. Torchwood Declassified mentions that the pteranodon was nicknamed Myfanwy by the cast. This is later shown to be the case in-univere, when we read an IM conversation between Ianto and Owen about Myfanwy's feeding habits (torchwood.org.uk).
Technically, it has appeared in every Torchwood episode so far, as a clip of it appears in the series' opening credits.