Welcome to SRP.
To identify your razor isn't so difficult. Little Valley Knife Association was founded by Herbert E. Crandall in 1900, Little Valley, New York.
On November 7, 1903 H.E. Crandall purchased property in Bradford, Pennsylvania.
In about 1905, they became Crandall Cutlery Co. From the W. R. Case & Sons history: 1905: Crandall Cutlery Co. is incorporated as a manufacturing company in Bradford, Pennsylvania.
1912: W. R. Case & Sons acquire Crandall Cutlery Co. of Bradford, Pennsylvania.
So. Your razor was made between 1900 and 1905.
P.S. In 1993, Little Valley Knife Association was revived by Parker KCS, Chattanooga TN, USA/Japan.