It is highly unlikely the actual manufacturer would have had any identifying markings on the gun, no matter who made it. The exception would be the "Belgian" guns as they would have had proofmarks which one might use to reduce the possibilities. Even then it would be long odds against.
Crescent did not keep very organized records and did not seem to have any rhyme or reason to their serial numbers. As they anonymously punched out guns under so many names that is not surprising. A quick look at a Savage source gave a brief mention of Crescent Arms (which Savage bought in 1930, not Stevens as I thought) and it is stated that Crescent produced guns under 500+ known names plus an unknown additional number. If the purchaser paid for the stamp and ordered a handful of guns, Crescent would d put any name on the gun.
Cresent was only one of many companies that would stamp a firearm however the buyer wanted. Stevens, Meridian, Harrington & Richardson, Iver Johnson, Merwin & Hulbert, the previously mentioned European sources, and at least a dozen other manufacturers provided the same service. Many of the firearms were very similar in appearance to each other which makes differentiating them difficult. The same "brand name" may also appear on firearms of different manufacturers as buyers changed sources. In the low price market, finding a particular manufacturer will be difficult unless one gets lucky and finds an identifying number on some part or is able to compare in detail their gun with examples from the suspected manufacturer.
The only advice I can give is to be happy with owning a decent condition utility gun. Odds are slim to none that you will be able to determine who actually made it. Knowing will not add anything to the value beyond what it currently has.
