After being fed some recent cow manure on who owns what brands, I thought I'd do some digging and try to clarify which company owns what brands so you have a slightly better idea of what is on your car and where it comes from. I've also done this as a Wiki so people can edit my mistakes or update as appropriate.

I don't know if it's of any use, but I found it interesting.

Parent Domicile Brands
Kumho Asiana South Korea Kumho, Marshal, Roadchamp, Tyrechamp
Goodyear US Goodyear, Dunlop (except Asia and South Africa), Fulda, Debica, Sava
Sumitomo Group Japan Dunlop (Asia), Falken, Sumitomo
Apollo Tyres India Vredestein, Apollo, Dunlop (South Africa)
Bridgestone Corp Japan Bridgestone, Firestone, Dayton
Cooper Tire Co US Avon, Cooper, Mastercraft, Dean, Starfire
Continental Germany Continental, Uniroyal (except US), Semperit, General, Barum, Viking, Mabor, Matador
Hankook South Korea Hankook, Aurora
Michelin France Michelin, BF Goodrich, Kleber, Uniroyal (US)
Pirelli Italy Pirelli, CEAT
Toyo Japan Toyo
Yokohama Japan Yokohama
South China Tyre and Rubber China Wanli