AOII international does not, but each chapter is encouraged to preserve it's local history, which includes the history of its originating local groups. My chapter Lambda Tau started out as Phi Lambda Tau, and we have a scrap book with information about the local organization. I don't believe they had a badge (this was backwoods Louisiana in the 1940s

) so there is nothing like that in our collection. Many chapters preserve the history of our locals through our chapter names...ie. Phi Lambda Tau became Lambda Tau chapter of AOII.