For example stag beetle is cervo volante (flying hirsch, masculine) in italian, which is also jägermeister and red bull.
I've always thought that a stag is a male deer, or hirschbock. In my imagination red deer only (in italian hirsch is cervo, but cervo only means red deer because fallow deer has its own name, daino).
Stag is depending on the context a male deer, or a male red deer.