He was the only son of Sir Henry Bellingham, 1st Baronet and Dorothy Boynton, daughter of Sir Francis Boynton. After being called to the bar at Gray's Inn, Bellingham was a Member of Parliament (MP) for Westmorland in the Long Parliament from 1646 until 1648.
Bellingham married Catherine Willoughby, daughter of Sir Henry Willoughby, 1st Baronet. Their marriage was childless. In 1650, having succeeded his father as baronet, Bellingham himself died two weeks later, aged only 27. With his death the baronetcy became extinct. He was buried in Heversham.
- "Leigh Rayment - Baronetage". Retrieved 16 April 2009. CS1 maint: discouraged parameter (link)
- Courthope, William (1835). Synopsis of the Extinct Baronetage of England. London: G. Woodfall. p. 20. CS1 maint: discouraged parameter (link)
- "ThePeerage - Sir James Bellingham, 2nd Bt". Retrieved 6 January 2009. CS1 maint: discouraged parameter (link)
- Burke, John (1841). John Bernhard Burke (ed.). A Genealogical and Heraldic History of the Extinct and Dormant Baronetcies of England, Ireland and Scotland (2nd ed.). London: Scott, Webster, and Geary. p. 54.
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