In the 1540s the Latin word augur made its way into English. Though not all etymologists agree, a majority identify the base of the word augur to be the Latin word avis, or bird. An augur was a religious official who foretold the coming year based on divination involving entrails garnered from the sacrifice of birds. To create the word augur, it appears the root avis was combined with the Latin word garrire, to talk, since after viewing the entrails, the religious official announced the foretelling.
Birds are known to tweet (though not after being sacrificed).
So it might be fair to say that since inaugurations were born, countless tweets contributed to their success or failure.