New NOS latches and strikers are the way to go. Originals are 65 years old, good used are ???? old, repros are junk. I bought NOS for my '50 and it made all the difference. The reproduction door jamb latches were a full 1/4" difference from the NOS I used. Readily available on eBay and well worth the additional money.
https://www.flickr.com/photos/advance-design_parts_co/23486333483/in/album-72157631868452754/
https://www.flickr.com/photos/advance-design_parts_co/16577213489/in/album-72157631868452754/