Complex sentence: One of these was awarded by the Royal Schools of Music and wtih that and another awarded by the NSAM (Natal Society for the Advancement of Music), she continued her vocal training in London for three years.
Split into simpler sentences: One of these was awarded by the Royal Schools of Music. With that scholarship and another awarded by the NSAM (Natal Society for the Advancement of Music), she continued her vocal training in London for three years.