If you believe in creation, as I do, then the first language would have come in the very beginning with the creation of Adam. If God spoke with Adam, and he in turn, spoke with Eve, then reasonably, they needed a verbal language. If you don't believe in creation, then I have read where historians have traced the spoken language to the Middle East, probably in the region between the Black Sea and the Mediterranean Sea. Interestingly, in this regard, the creation and secular sources do not disagree with each other concerning the location of the first spoken language.
Some languages on the Asian and European continents developed from an Indo-European originator, but as with any evolutionary process it was a slow one. Early language probably developed sounds (eventually forming words) to indicate nouns, such as animals or food, with verbs, adjectives and the whole rang of language coming as a later development. We can't know much about the origins of language as there are no written sources, but all things point to it being a gradual thing.
The first answer is in error on one point: there is no possible way for linguists, etymologists, and/or philologists to trace the origins of spoken language. Spoken language is certainly prehistoric, which means that there can be no written records of it.
Since the most likely area for the initial evolution of homo sapiens, and its precursors, is sub-Saharan Africa, it is likely that language was first used there. But it is not certain.
The origin of language can be viewed in two ways, depending on whether you believe in a successful run of "The Forbidden Experiment".
If the test is positive, then this points toward language developing innately, perhaps primitively, at the first point where evolution pushed intelligence over some "critical mass". This does not mean black and white: there is evidence that Humpback whales exhibit Chomsky-esque hierarchies.
If the test is negative, then this means that speech evolved slowly with us, and that the first languages must have been immensely primitive. There is good reason to believe that the test is positive, based on the way that children learn languages.
The Greeks created the first alphabet, while the ancient Sumerians created the first written language.
Unix was created first. The C programming language was created for Unix.
There's no real answer to your question, because we don't even know what the first language was yet! We know it was a very long time ago, and the first evidence of language dates back to cuneiform.
Language Sciences was created in 1979.
The American Language was created in 1919.
Language in Society was created in 1972.
Language College was created in 1995.
Sign language wasn't discovered. It was created many years ago probably about the same time there was the first deaf person.
Smalltalk was the language created as a proof-of-concept implementation of the object-oriented programming paradigm.
Language Creation Society was created in 2007.
The Awful German Language was created in 1880.
Native Language Music was created in 1996.
Love as a Foreign Language was created in 2004.
Norwegian Language Council was created in 1972.
Polymorphic Programming Language was created in 1969.
Dictionary of the Irish Language was created in 1976.
Speak Your Language was created on 2008-07-07.
Scottish Language Dictionaries was created in 2002.
The Secret Language of Birds was created in 1998.
Perl Data Language was created in 1996.
Center for the Greek language was created in 1994.
The Welsh Language Society was created in 1962.
National Museum of Language was created in 2008.
Sahmyook Language School was created in 1969.
Turkish Language Association was created in 1932.