Hi Gio,
ref. 2591 and 60ties is matching. The ser. number and movement ser. number you'll find inside case back and on the movement mainplate.
For a rough idea about value, I'd recommend to check auction houses archives (antiquorum.com, sotheby's.....) - type in "2591" and "Patek" for example and you hopefully get some usefull information.
Hope this helps a bit
Best regards
Suitbert