RE:RE:RE:RE:Out of whole cloth No. I did not but my computer directed me to the answer. Much more complex than I ever thought.
The much more probable source of 'raining cats and dogs' is the prosaic fact that, in the filthy streets of 17th/18th century England, heavy rain would occasionally carry along dead animals and other debris. The animals didn't fall from the sky, but the sight of dead cats and dogs floating by in storms could well have caused the coining of this colourful phrase. Jonathan Swift described such an event in his satirical poem 'A Description of a City Shower', first published in the 1710 collection of the Tatler magazine. The poem was a denunciation of contemporary London society and its meaning has been much debated. While the poem is metaphorical and doesn't describe a specific flood, it seems that, in describing water-borne animal corpses, Swift was referring to an occurrence that his readers would have been well familiar with:
Now in contiguous Drops the Flood comes down,
Threat'ning with Deluge this devoted Town.
...
Now from all Parts the swelling Kennels flow,
And bear their Trophies with them as they go:
Filth of all Hues and Odours seem to tell
What Street they sail'd from, by their Sight and Smell.
They, as each Torrent drives, with rapid Force,
From Smithfield or St. Pulchre's shape their Course,
And in huge Confluent join'd at Snow-Hill Ridge,
Fall from the Conduit, prone to Holbourn-Bridge.
Sweeping from Butchers Stalls, Dung, Guts, and Blood,
Drown'd Puppies, stinking Sprats, all drench'd in Mud,
Dead Cats and Turnip-Tops come tumbling down the Flood.
We do know that the phrase was in use in a modified form in 1653, when Richard Brome's comedy The City Wit or The Woman Wears the Breeches referred to stormy weather with the line:
"It shall raine... Dogs and Polecats".
Polecats aren't cats as such but the jump between them in linguistic rather than veterinary terms isn't large and it seems clear that Broome's version was essentially the same phrase. The first appearance of the currently used version is in Jonathan Swift’s A Complete Collection of Polite and Ingenious Conversation in 1738:
"I know Sir John will go, though he was sure it would rain cats and dogs".