I love Mihail's Housecats mod, and thought they should have names. I found this mod Mihail House Cats - Named Cats at Skyrim Special Edition Nexus - Mods and Community (nexusmods.com) which was the inspiration for mine, and altered it to work for the great Xtudo's version which adds more cats and gives them different colors.  I kept the original names from that mod out of respect to the original author, please go to their page and endorse that mod!

What this mod does:
1. Keeps the names from the original naming mod by cbgreely
2. keeps the color variations from Xtudo's mod
3. restores the "allow pc dialogue" tag to the cats so you can see their name (otherwise what is the point of this mod, lol) when you look at them, as it was in Mihail's original mod. You can't actually talk to them, but you can pet them using the patch for Immersive Interactions provided by Xtudo on his page.
4. switched the cat placed in Dragon Bridge from black to brown, to match the intended color (editor id is 'brown')
5. Gives names to the 19 cats added by Xtudo's version

Original names from cbgreely's original naming mod:
Whiterun - Graham
Windhelm - Rascal
Falkreath - Smokey (now brown)
Solitude - Calvin
Morthal - Monroe (now spotted)
Dawnstar - Muffin
Markarth- Shalquoir (now black)
Riften - Sweet Roll
Winterhold - Luna (now black)

The cats I named, and why:
Whiterun
    white - Zephyr - named after the wind district in which they roam
    spotted - Ragnar - spawns in Rorikstead...
    brown - Hjaldr - lives at the Battle-born farm, means 'battle sound' in norse
Windhelm
    white - Regis - the city of kings, after all.. and a beloved Witcher character
Falkreath
    spotted - Phantom - for Skyrim's biggest graveyard..
    white - Ghost - same
Solitude
    brown - Faranth - spawns in Dragon Bridge, homage to Dragonriders of Pern
    white - Dandelion - lollygags in Solitude proper, homage to my favorite Bard from Witcher
    grey - William - strolls in Solitude proper, homage to the most famous Bard, Shakespeare
Dawnstar
    black - Edward - named after the pirate Blackbeard, aka Edward Teach
    brown - Macalla - named after the last Queen of Dawnstar
Markarth
    brown - Bear - named after the ex-Jarl
    white - Silver - named after Markarth's biggest commodity
    spotted - Rocky - for the City of Stone.. and in remembrance of my old dog, my best friend
Riften
    black - Westley - homage to the Princess Bride's man in black
    brown - Robin - homage to Robin Hood, my favorite childhood thief
    white - Alain - named after the famous urban climber Alain Robert, this cat is always scaling the Blackbriar's roof
    grey - Fox - for The Gray Fox, mythic leader of the Thieves Guild
    spotted - Peter - tribute to Peter Scott, Irish "King of the Cat Burglars"

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UPDATE November 27, 2023
I have also included alternate esp files for if you use the mod  Assorted Tweaks for Various Mods - Animal Behaviour at Skyrim Special Edition Nexus - Mods and Community (nexusmods.com) ... this carries over all the names from my original naming mod, plus incorporates the factions and packages necessary for the new cat ai from that mod to work. In addition, that mod adds **three more cats** which I have named thus:

Riverwood - Byrja - means "to begin" in norse
Shor's Stone - Drayven - for the famous master thief Drayven Indoril who settled there
Morthal (black) - Morihaus - for the founder

Update - December 2, 2023
The cats now have voices when you click on them, thanks to Behaviour Tweaks! Many thanks to  Chardero the Lupe for their help in creating a patch for that version, as well as with removing crime reporting! 
Update - December 3, 2023
Carried over changes for version 2.2 of Behaviour Tweaks. "No crime reporting" is now included in Behaviour Tweaks.
Update - December 11, 2023
Some pretty big under-the-hood ai changes by Behaviour Tweaks version 2.4.2 have been carried over. New patrol packages and such. Safe to update I believe, see the Immersive Tweaks mod page for details.

IMPORTANT INFORMATION - December 31, 2023
As of version 2.4.2/2.4.3 of Immersive Tweaks - Animal Behaviour, you must choose the correct patch for modular versus full installation, or you will get an ils (infinite loading screen) due to changes in the formids for the ai packages. The modular patches *should* work for either the rats or pigeons choice, I had a friend test it for me. Thanks Katschaba!!  <3
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Huge thanks to cbgreely and their mod which inspired me, again, please give them an endorsement or a kudo.
And huge thanks to Mihail for his original mod, and of course thank you to Xtudo for adding diversity to the cats!
And, thank you to hagbaby for the cool mod that gives the cats more life.
Also a thank you to Jayserpa for his immersive interactions mod so we can pet them!