It's usually not possible to associate a component to a particular aircraft using its model number or manufacturer's serial number alone. Typically, parts can be associated to a specific aircraft if found with an airframe that shows identifying marks such a serial number (Werke Nummer for German) or squadron insignia. If the item is from a crash site, there may be documentation on the aircraft involved but the exact location of the find would need to be pin pointed.
BTW, is it possible that your "F1" stamp is actually and "FL" stamp?