Well I'm cheating here too!

The minister's cat was called Zwilich because the minster had Pulitzer aspirations.

Sorry, forgot to suggest a new topic, but I can't think of one (is there an alcoholic drink for every letter of the alphabet? ) If anyone has any suggestions....

Good thinking C!

The Minister's cat was called Absinthe because it made his heart grow fonder.

The Minister's cat was called Beer, because he was small.

The ministers cat was called Cider because he lived with Rosie.

The minister's cat was called Daiquiri because he was a rum kitten.

The minister's cat was called Ethanol because she was very volatile (unpredictable, rather than evaporating!)

The Minister's cat was called Foster's because the Minister came from Gloucester, and liked poetry.

The minister's cat was called Gin as the minister enjoyed a game of Rummy.

The minister's cat was called Hook, after Hook Norton, the minister's favourite real ale ( and my husband's as well!).

The Minister's cat was called It, for short, though his real name was Vermouth.

The minister's cat was called Jack Daniels after the minister's best friend.

The Minister's cat was called Kirsch because he kirshed the day when it arrived on the scene.

The Minister's cat was called Lager, because it was bigger than his previous cat, and the Minister couldn't spell.

The minister's cat was called Mead because she was as sweet as honey.

The Minister's cat was called Newcastle, because he was brown and 'ail (and 'earty).

The minister's cat was called Oranjeboom because he liked to sleep underneath the orange tree.

The Minister's cat was called Punch because it was a master at the two-paw bash!

The minister's cat was called Quince because the minister enjoyed a drop of brandy.

The Minister's cat was called Rum because it went of its own accord. (Jamaica?)

The minister's cat was called Schnapps because the minister played some very drunken card games.

The Minister's cat was called Tom Collins after the next door neighbour! He liked yelling it round the garden to annoy said neighbour!

The Minister's cat was called Tequila the minister loved to watch the sunrise.

Oops! you beat me to it

You may have U, CM!

The minister's cat was called Under The Table as that's where he took his lady cat friends!

The Minister's cat was called Whisky as it was a sour puss.

Oops! The minister's cat was called Vodka because it likes being on the rocks.

The minister's cat was called XXXX as the minister couldn't care less (again!!) what it was called.

The Minister's cat was called Yak's Milk as it fermented rather badly. (Yes, I know that naks are the ones that give milk but the Minister didn't!)

The minister's cat was called Zorro, because his markings made him look as if he were wearing a mask.

What's next?

How about book titles?

The ministers' cat was called A Room with a View as he liked to look out the bedroom window.

Good thinking DC.
The Minister's cat was called Brideshead Revisited because it always went back!

The Minister's cat was called Charlie because the vicarage was near a chocolate factory.

The minister's cat was called Daniel Deronda as the minister enjoyed reading George Eliot.

Missed it!

The Minister's cat was called East Lynn because her sister, also called Lynn, lived in Cornwall.

The Minister's cat was called Five because it was famous. He also had a dog called Timmy.

The minister's cat was called Green Gables and its kitten was called Anne.

The Minister's cat was called How Green Was My Valley as the minister kept saying "Hello boyo" to everyone as if he were Welsh.

The minister's cat was called Ivanhoe as he loved scaling walls and doing battle with the cat next-door-but-one.

The Minister's cat was called Just William because it...just was..

The Minister's cat was called Inkheart because he was a born writer and Quink ran through his veins.

oops... messed up...

The minister's cat was called King Solomon because the minister said, "He's all mine!"

The Minister's cat was called Lady Susan but it was no lady!

The minister's three cats were called Milly, Molly and Mandy.

The Minister's cat was called Northanger because it came from an abbey.

The Minister's cat was called Oliver because his tail had a twist in it.

The Minister's cat was called Persuasion because she could wrap the Minister round her (figurative) little finger.

The minister's cat was called (the) Quiet Little Woman as she spent most of the day sleeping in the armchair.

The Minister's cider-loving cat was called Rosie.

(She was also Fido's twin )

The Minister's cat was called Stig because the Minister's house was a real dump.

The Minister's cat was called Tess because the Minister (and his cat!) lived in a house called D'Urbervilles.

The minister's cat was called Under Milk Wood because the minister had two brothers- Dylan and Thomas.