Over here it would be David Bailey.
As a child growing up in the north of England in the early 80's, you would instantly hear the comment, "Ey up, here's David Bailey", every time you took your camera out. Used to really p*ss me off.
I'd take it as a massive compliment today
Regarding whether people know famous photographers...I think it depends on their hobbies, likes, social circle etc. much more than their age or country of birth. For instance, there are Depeche Mode fans the world over and many will be familiar with Anton Corbijn because of his work with them for more than thirty years. Who could forget Corbijn's video footage that was used on their Devotional tour in the 90's? That led me to checking out his photography, the other bands he's worked with, and more recently, even lith printing. Love his work.
Here's a documentary about his work on the tour...
WARNING to any ladies, gay guys or those wavering about their sexuality out there: this video features Dave Gahan gyrating on stage. You've been warned