His piano sonata The Battle and Victory of Salamanca appeared in 1812. Blewitt joined J. B. Logier when he introduced his system of music instruction into Ireland; he became a very successful teacher in his own right, and published in Dublin a treatise on singing and An Epitome of the Logierian System of Harmony. He wrote hundreds of vocal pieces, most of them comic songs and ballads in the Irish style, which were particularly popular, the best-known at the time being Barney Brallaghan (a selective list of works is given in New Grove).