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It actually would be better to see photos of your actual latch. That will allow us to see exactly what you have been working with and from there we can provide our most accurate suggestions on a replacement. Not every result on Google is guaranteed to match your part.

If you don't need outside key access, I would suggest using the 40-130 or the 40-131 latch and dead bolt. Or, if you do want key access, look at the 40-058 or the 40-177 handles. However, replacing this handle set, you will need to drill new holes for the key and dead bolt. The original is discontinued and there is no replacement available unless you are willing to modify your door as described.

If you don't want a dead bolt, take a look at the 40-034 or the 40-152 storm door handles. Either of these may work.