coil balance for window

Hello, Pam. I actually don't recognize this balance system. I agree that it looks different from most common setups.

I think we can still help, but before I recommend anything I would like a photo of the pivot shoe out of the frame so that I can see it without obstruction. I would also like you to tell me its exact width and thickness, if possible.

The video below should be of some help.

Is the shoe disconnected from the coil? Note that if the coil housing has been in one place for some time, it may simply be difficult to dislodge. If in doubt we advise contacting a local pro for assistance. Seeing the pivot shoe out of the frame would still be a huge help to proceed further on this. Let me know if you have further questions. 

Perhaps I can be of assistance. First of all, you have the former BF Rich vinyl window that was made in Delaware. They are no longer in business. Referring to the cutout at the top of the window, you won't need to make any cutouts on the window. Now I don't know why if the tension released, that the coil spring housing won't slide up. Sometimes, the frame adjusting screw (seen in your first batch of photos, IMG 5026) that is in the middle of the track comes out and blocks the movement. The bottom pivot shoe center cam has to be in the upright position (as shown in IMG 5025) to slide up. Also the top coil spring cover in IMG 5025 looks to be halfway in on one side and out on the opposite side. If you can force the side that is out side, you should be able to slide the housing up to the cut out. You might need a putty knife to work the side back in the track. Let me know if this helps, or if you have further questions. 

Perfect, thank you. We don't carry the exact pivot shoe, but we believe you can use the 15-228 shoe as a replacement, along with the Series 160 coil springs. To know what spring weights to select, look for stamps near the end of the coil springs. If there are none, or you're unsure, tell us the exact weight of the window sash, and we can calculate it for you. Finally, if you can't reuse the coil spring cover, you can use the 15-150S for single use coil spring.