I'm shooting from the hip here, so take it with a grain of salt.
I'm referring to: Fundamentals of Aerodynamics by John D. Anderson on p 20/21 and 367. I have used the book, but my classes focused on nozzle flow, not wing flow.
2y/b is your distance along the wing. 'b' is the wingspan, and 'y' is the distance from the center of the plane. When you're at the tip, y = b/2, so nu will be 1.
My guess is that the Y axis is a measurement of lift per unit span, although it's in a form I've never seen before. I'm guessing, but I think the c/c_bar term is the ratio of chord length to average chord length (just from standard terminology). This would give you 0 at the tips, and a number greater than 1 at the root. c_bar may be root chord length. That would seem to make more sense to me, anyway.
The CLL/CLWFP I'm not sure. Maybe CLL is the lift coefficient of the entire plane, and CLWFP is the lift coefficient of just the wing?
It sort of makes sense. For a constant lift coefficient per unit span and dynamic pressure, lift per unit span is a function of chord length alone.
I don't know the reason for making it so bass-ackwards if that's what it is showing, though.
Any chance you could contact the person who gave you the graph to find out for sure?