There is Allan Robertson on the far left (creator of the Road hole green), and on the right, Young Tom and Old Tom Morris. And second from the left? Reader Jason got it...
Why it's the great David "Old Daw" Anderson, purveyor of golf balls, greens and a wee nipat the fourth tee for which the hole is now named (Ginger Beer). Here he is serving up a beverage to none other than Old Tom in what has to be the earliest evidence of the beverage cart girl (I know you thought Troon in Scottsdale was the original home for on-course libations).
Note the green roller nearby, or whatever that is!
Here's another shot of Daw courtesy of the University of St. Andrews.