Jam hardware
This balance shoe is quite likely to be a match for the 15-177 Coil Balance Shoe. To confirm that this is the correct replacement, take a look over the specifications and compare them.
The compatible coil springs are the 1/2" thick Series 152 Coil Balance. They are secured to the shoes using the 33-072 screw. To determine which coil you need for your assembly, you'll need to check for any stamps markings on the metal. If there aren't any, please see the tutorial below for detailed instructions.
If you cannot reuse the existing coil supports, you'll need the 15-143 Coil Bushing, 15-144 Coil Bushing Cap, and the 15-145 Coil Support Barrel. All three are used together to create the new support.