Vishnu, also known as Narayana and Hari, is the Hindu god of preservation, reality, and karma. And apparently he uses a bird for transportation! Read more about Vishnu at Wikipedia. The artist and date is unknown, it does look rather old though.
Image is from Wellcome Collection and Wikimedia Commons, under Creative Commons Attribution 4.0 International License (CC BY 4.0). Information from Wikipedia(CC BY-SA 3.0).