This 7th century temple is for Goddess Karpagambal or ‘Goddess of the Wish-Yielding Tree’.
The website Places to visit in Chennai says:
The goddess is one of the forms of Parvati, Lord Shiva’s wife. The Kapaleeswar Temple is one of the most visited temples is situated in Mylapore. Kapaleeswar temple is dedicated to Lord Shiva. The temple reveals the Dravidian style of architecture, with its carved gopuram measuring about 37 metres in height and elaborate mandapams and a storage tank. The construction was modernized by the Vijayanagar kings in the 16th century A.D. This holy temple witnesses a huge crowd during the Arupathu Moovar Vizha Festival. The ten days festival gives the temple and the area of Mylapore a new tint of excitement. Kapaleswar Temple is one of the popular travel attraction of Chennai.
This is the seal of Tamil Nadu: