Here are some pictures. When I refer to the 'unit' I am referring to the entire 3 1/2 inch wide (picture) by 46 1/4 inches (tapering to a 46 3/4 inches) tall nylon piece that is on the side of the window that has both balances in them.
It appears that the balance does not screw into the frame but rather has a strap that hooks onto the top of the 'unit' that goes on the sides of the windows. I saw the tech remove these 'units' a few years ago and I think that he pulled them out from the bottom and replaced the whole 'unit' rather than just the balance that was broken. The only way that I can see to do this is to pry out the bottom with a screwdriver (picture) and pull out the unit. There is a 'tab' on the side of the 'unit' that holds it in place in the window. (picture) I have not done this beyond a couple of inches because I am afraid that I might break something and have a large opening in my house.
The opening that allow the pin and block to ride up and down is approximately 3/8 of an inch wide (picture). The block has a metal piece that is attached to it that has a point on both sides of the block that prevent it from shooting up when the sash is removed (picture). The balances have different markings on them. The ones for the 46 inch tall lower window is "UNIQUE 22-C-30" and the upper windows are "UNIQUE 20-C-30" and the 64 inch tall windows are marked "UNIQUE 30-D-40" for the lower and "UNIQUE 28-D-40" for the upper

