I asked ORCA VP Matt Wickham to help me date the patch based on the initials OASAC (Ohio Association of Scientific Angling Clubs) and NAACC (National Association of Angling and Casting Clubs). Matt sent me this great chart which he has graciously allowed me to share here.
The OASAC existed 1906-1938 and the NAACC existed 1939-1961. For a patch to have both organizations puts it in that 1938-1939 era, right about when one ended and the other replaced the NASAC, and definitely prior to 1961.

