Hi Dawn - that sounds like an interesting badge! Collecting vintage medals and coins is called exonumia and is a fascinating and interesting hobby.
Exonumia are numismatic items (such as tokens, medals, or scrip) other than coins and paper money. This includes Good For tokens, badges, counterstamped coins, elongated coins, encased coins, souvenir medallions, tags, wooden nickels and other similar items.
The marking on this badge provided crucial clues - "S.S. Reward 1933". Sunday School Reward and date awarded - 1933.
The leaf is important. I am leaning towards - IVY.
What I found noteworthy was the correlation of Ivy and the year 1933:
the eight universities known as Ivy League schools are: Brown, Columbia, Cornell, Dartmouth, Harvard, Pennsylvania, Princeton, and Yale. The idea dates back to October 1933 when Stanley Woodward, a sports writer for the New York Herald Tribune, used the phrase "ivy colleges" to describe these schools, which had common athletic programs. Although the term Ivy League has nothing to do with the ivy-covered walls of the prestigious schools to which it refers.
Ivy has been a symbol of eternal life in the pagan world and represents new promise and eternal life in the Christian world. Ivy is more of an English Christmas green than an American one.