Need help matching replacement balance
Hello there. The pivot shoe looks like a 15-180. This works with Series 180 Coil balance springs, sold separately. The mounting bracket is the 16-031. See the diagram below that shows how these components are assembled.
For the replacement coil spring(s) you have to choose a spring weight, which reflects the weight the lone coil can support. That stamp on the shoe suggests you could use the 9 pound S180-09 spring. One of these on each side of the sash would tally 18 pounds of support. Weigh the window sash if you are uncertain. Give us that exact weight and we can calculate what you need. Let us know if you have further questions.