In the earlier song you heard a composition by Papanasam Sivan on Lord Ganesha. As I mentioned earlier, though music, in general, transcends barriers like religion, caste, creed, sex, language, etc., carnatic music is strongly attached to and influenced by Hinduism.
In Carnatic music, all the South Indian languages have been used prolifically, in addition to the ancient classical Indian language, namely Sanskrit. There are three major composer-musicians in Carnatic music who are collectively known as the ‘Trinity of carnatic music’, also known as ‘The three jewels of carnatic music’ who all belonged to 18th century. They are Saint Thyagaraja, Muthusamy Dikshitar and Syama Sastri.
This piece of vocal music sung by Nirmala Ramachandran is a composition of Syama Sastri on Goddess Kamakshi. It is in the raga Madhyamavati and is set to Adi Taala.