My understanding is that BritishWW1 service medals normally had the details of who they were being issued to engraved on the rim at the time of issue by the British Government and at the Government's expense. British WW2 service medals were issued without the details of who they were being issued to engraved on the rim but the person receiving them could, if they wish, arrange to have their personal details engraved on the rim, off their own back and at their expense, if they wish. Different arrangements may have been in force for other Commonwealth Countries. The reason that I state this is purely from examination/observation of WW1 and WW2 British service medals but if others have further information available on this matter could we see it, please.
Don't assume that a WW2 British service medal wasn't officially issued just because of a lack of personal details engraved on the rim, for the reason I've already explained.
There should be an official record of who received a Service medal during WW1 and WW2. The WW1 medal records are easy to access on-line. I don't know how easy it is to access the medal records for WW2 because I've never tried and they may still be held by the MOD, like the WW2 service records.