Take your time with an old bow that has been in storage for a long time. Be sure to check it over for cracks, glue separation, etc. You might also consider stringing it and let it set without shooting for a day or two to see if the stress of being strung can bring out any faults.
First time you draw it, do so slowly and listen for any 'pops' or cracks. Use a B50 dacron string. Check condition carefully after a few shots. If everything looks good, enjoy the bow.
I've found some vintage bows at garage sales apparently stored 'high and dry'. Usually means in at attic where they may have been kept dry, but did experience the full range of hot attic summer temps and low and high humidity. Glue and finish from 50 years ago are poor compared to today. Especially susceptible to heat and moisture. Not saying all old bows are bad. Not at all. Just saying storage conditions can make a big difference, so be careful.