The 34 is a 35 (we are in a 32acp thread) but it's from 1955 and not even the American Legion. In fact it is an export model.jar,
Is that Model 34 either Condor Legion or WWII Luftwaffe marked, perchance?
(Have you removed the grip panels & looked for military markings?)
The Beretta 34 & the PPK in .32ACP were the FAVORITE handguns of the Condor Legion & Luftwaffe pilots.
yours, satx