From a series of Vishnu Avataras - Rishabha
The Vedas mention the name Rishabha. According to Sarvepalli Radhakrishnan, a professor of comparative religions and philosophy at Oxford who later became the second President of India, there is evidence to show that Rishabhdeva was being worshipped by the first century BCE. The Yajurveda [note 1] mentions the name of three Tirthankaras – Rishabha, Ajitanatha and Arishtanemi, states Radhakrishnan, and "the Bhāgavata Purāṇa endorses the view that Rishabha was the founder of Jainism". .[note 2] Elsewhere it is an epithet for the Hindu god Shiva (Rudra).
0 Rudra-like Divinity ! do thou produce amongst us, of high descent, a Great God, like Rishabha Deva, by becoming Arhan, which is the epithet of the first World Teacher; let Him become the destroyer of the enemies !— Rig Veda, X.12.166
 According to the Bhagavata Purana text, Rishabha is an avatar of Vishnu. According to D. Dennis Hudson, this interpretation of Rishabha as an Avatar might have developed during the same period when the details and stories of Jina Rishabha were constructed. India was named "Bhāratavarsha" or "Bhārata" or "Bharata-bhumi" after his son. In the Hindu text, Skanda Purana (chapter 37) it is stated that "Rishabhanatha was the son of Nabhiraja, and Rishabha had a son named Bharata, and after the name of this Bharata, this country is known as Bharata-varsha."
The Vayu Puranas says he who conquers the whole of Bharata-varsha is celebrated as a samrāt (Vayu Purana 45, 86) however in some puranas, the term 'Bharat' refers to the whole Earth as Emperor Bharata is said to have ruled the whole Earth.
According to the Puranas, India is known as Bharatavarsha after his eldest son Bharata Chakravartin. This has been mentioned in Vishnu Purana (2,1,31), Vayu Purana,(33,52), Linga Purana(1,47,23), Brahmanda Purana (14,5,62), Agni Purana ( 107,11–12), Skanda Purana, Khanda (37,57) and Markandeya Purana (50,41) it is clearly stated that this country is known as Bharata Varsha.
Vishnu Purana mentions:
ऋषभो मरुदेव्याश्च ऋषभात भरतो भवेत् भरताद भारतं वर्षं, भरतात सुमतिस्त्वभूत्
ततश्च भारतं वर्षमेतल्लोकेषुगीयते भरताय यत: पित्रा दत्तं प्रतिष्ठिता वनम (विष्णु पुराण, २,१,३२)
This country is known as Bharatavarsha since the times the father (Rishabhanatha) entrusted the kingdom to the son Bharata and he himself went to the forest for ascetic practices —Vishnu Purana (2,1,32)
उत्तरं यत्समुद्रस्य हिमाद्रेश्चैव दक्षिणम् । वर्षं तद् भारतं नाम भारती यत्र संततिः ।। – Vishnu Purana (2.3.1)
"The country (varsham) that lies north of the ocean and south of the snowy mountains is called Bharatam; there dwell the descendants of Bharata."