Glottogony

glottogony \glə-ˈtä-gə-nē\ noun: 1. the genesis of language (i. e. the emergence of a system of verbal communication from proto-linguistic or non-linguistic means of communication), 2. the study of language origins

Etymology: Greek glotto- tongue, language + -gony genesis, origination

A big thanks goes out to my friend Bernadette for introducing me to this word.