Kevin I would imagine each chapter elected their own presidents over the years. Likely there were also pins stating President. A group my mother belonged to for many years presented pins to members, to which could be added smaller 'plaques' with engravings of president, vice president, past ......, etc. Also ones commemorating milestones of years served. Most likely yours was presented to an outgoing president of a specific chapter.
I'd take KC's advice and contact the international site. They likely have a wealth of information on their memorabilia.
I came across a newspaper notice from October of 2012, advertising a performance being presented by shall we say, some of the senior ladies of a Tulsa chapter. There is mention in the brief article that there would be a display of memorabilia. Each chapter possibly has their own collection relating to their specific history.