Cains is a very unusual surname, so I have looked for businesses, places etc called Cains. But all businesses seem to have been actually founded by a person called Cain, so the firm is really called Cain's, and then they have dropped the apostrophe. The real Cains are hard to track down on Google, because it also picks up all the Cain's, most results are "the Cain's family website" , or "John Cain's blog" etc etc. ( Of course you can see on my site that I am not a true Cains either, the name changed from Cairns or Cairens in about 1810).
Businesses :-
Cains foods in Ayer, Massachusetts.
I couldn't resist visiting the factory on our holiday. I love their
slogan
Founded by John E. Cain in Boston in 1914.
Cains
brewery in Liverpool, England
Founded by Robert
Cain in 1850. They have also taken the www.cains.co.uk web address.
Cains farm and haulage,
in Chideock, Dorset, England 
Cains solicitors on the Isle of Man, Great Britain, with offices in London and Singapore. One of the directors is Seth Caine, so I assume his family started the business. They also use the www.cains.com website.
Cains family amusements, various across souh-east England 
Sugar Cains cafe, Jamaican restaurant in Blackpool, England.
Presumably an alternative spelling of Sugar Cane. 
Cain's ballroom in
Tulsa, Oklahoma.
Cain's saloon in
Pittsburgh 
Cain brothers coal merchants in Birkenhead,
England. Had their own railway waggons 
"Bob Cains for president 2008" T-shirts. These can be printed with any name and photo,
so they must have picked some Bob Cains at random. 
C.A.I.N.S. can also stand for the Center for Autonomous Intelligent Networks and Systems , Carrier Aircraft Inertial Navigation System , Central Avionics Information System, and Customer Agent Information Network System
There are altogether 66 Cains businneses in the USA !
And not forgetting the Cains suite at Devonshire Mills, Pocklington, named after my great-grandfather Henry Parkin Cains
Cains places
Cains river in New Brunswick, Canada.
Cains is a small settlement in Pennslyvania, USA.
Cain's Lane or Cains Lane near Heathrow
airport, London,
very popular with plane-spotters.
Houses were allegedly damaged by a Russian jet in 1957. It was in the news again when a plane
crashed nearby in 2008.
A street called The Cains, in Taverham near Norwich, England. No images, but a map is here NR8 6FU
Cains Road mountain bike trail , near London, Ontario, Canada
Cains Street in Timaru, New Zealand, named after Captain Henry Cain.
Cains Lane, Carbondale, Colorado
The Church of St Cains, Liverpool , unfortunately seems to be fictional ! Just a made-up name to use in an example for a church annual report.
Cains is sometimes a mispelling for Cairns in Australia, or Gonville and Caius College at Cambridge University.
Cains people on the web

I have to start with Mum and Dad, who used to be local councillors in Stockton-on-Tees.
Mum passed away in 2020 but I can be proud that she was mayor of Stockton for a year ! News story when they retired.

My brother Tony very sadly passed away in 2021. He had letters published in New Scientist etc and author of a patent concerning electric cars which was his profession. https://patents.justia.com/patent/20150203094
My other brother Geoff enjoys long-distance running; there are some results here.
Peter Cains, professor of chemical engineering
Stephen Cains, writes a Brand and Financial Analysis blog
Dr Stephen Cains in Sydney, Australia
Cains:Feel , a Japanese band named after Cain and Able
Cains and Abels , a rock and roll group in the USA
Trevor Cains, founder of Stericare in south-west England
Linda Cains, barrister in Leeds, England
Jeff Cains, a generous millionaire businessman in Leeds, England
Emma Cains, set designer in Bristol, England
Very sadly, Ida Cains was probably one of the 200+ victims of Dr Harold Shipman
There are over 500 people called Cains on Facebook Not so rare after all !
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