Window sash "balance" from the 50s?
For these old-style spiral balances with the spiral fixed to the mounting bracket, we like to recommend our 5/8" diameter Series 500 spiral balance and 17-012 bracket. These two parts together should act as a good replacement as long as the housing tube will fit the opening in your sash frame. First, you'll need to measure the housing tube, not including the spiral that extends from the bottom, to choose the correct replacement.
You'll also need to weigh the sash and follow the chart under the balance product description to choose the corresponding strength option. You may also want a charging tool like our 75-005 to help with installation. Take a look and thanks for posting.