Larson storm door part
Thank you for your assistance.
Your lock design is similar to our 90-272, though I'm concerned that the size might not be the same. The two most important dimensions to consider here are the overall width, which is 13/16" on ours, and the center-to-center hole spacing, which is 2-1/4" on ours. Refer to the diagram below and let me know if this would match. If it differs, tell me how and I will see if I can find something better.

At 2 ¼, I could drill new holes for yours to secure to, but I do not believe the depth will not work.
Thank you. Unfortunately, we do not have a lock that is as shallow as 1/2". That is very, very skinny. I am sorry that we cannot be of more help.
Your next best bet at this point is to contact the original manufacturer of the door directly.