Antique Chev lists the glove-box ... which probably doesn't include the latch ... but perhaps a phone call to them might get you started in the right direction?
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P600200 37-48 Glove box (car)(specify year) each 35.00
makes a fiberglass glove-box door, which doesn't appear to include the latch.
They, again, may be able to give you a lead.