Jayachamarajendra Wadeyar was perhaps the only carnatic composer to have composed 11 songs on Ganesha. The 20th century royal composer from Mysore who worshipped Chamundeshwari, the patron deity of the Mysore royal family included Srividya as his signature in all his compositions.
Here is a popular composition of Jayachamarajendra Wadeyar on Ganesha in raga Atana. The recording is from my concert at National College, Jayanagar organized by Bangalore Lalithkala Parishad.
For more info on this royal composer and his compositions click here.