I didn't find any numbers or names on the windows.

A handy person from Apex, NC says:
October 9, 2020
I am trying to locate this balance for our home windows. The home was built in the year 2000. I don't have any info on these windows. They were installed by Empire Builders. We live in Apex, NC 27502. Thank you for any help you can provide. James
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Bob from SWISCO responded:
October 13, 2020

This looks like a 15-186 Coil Balance Clip, which is uses with Series 190 Coil Balances. The Pivot Shoe is likely our 15-180. Remove and compare to confirm. 
Coil Balance Shoe
Coil Balance Shoe
15-180
$3.97
Coil Balance Clip
Coil Balance Clip
15-186
$5.05
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