Currently our cats are called
Silas, the oldest one, who is 19
Nermal, the youngest (12), who was named after nermal in the Garfield cartoons because she was cute when she was a kitten. Nermal in Garfield is referred to as the worlds cutest kitten.
Our dog is called Mooragh, which is Manx for swamp, marshy area. Often called Mor0n when she does something stupid. Well she is a dog

The cat I used to have in my avatar, for those that can remember, was Winston, but he died earlier this year at 15.
In the past we have had cats called:
Simon and Garfy, after Simon and Garfunkle
Merry and Pippin, out of Lord of the Rings
Tigger. Obvious for a ginger and white cat
Dogs:
Dylan and Dougal. Brothers and named after characters from the Magic Roundabout.
Kipper because she was from the Isle of Man
Bilbo, an extremely stupid dog, again from Lord of the Rings.
One rabbit called Frodo, yet again from Lord of the Rings.
The book is one of my fathers favourites.