Sir James Dundas was born around 1619, the son of Sir James Dundas of Arniston (born 1570, died 1628) and his second wife, Mary (died 1661).
References:
Stuart Handley, ‘Dundas, Sir James, Lord Arniston (b. in or after 1619, d. 1679)', Oxford Dictionary of National Biography, Oxford University Press, 2004 [http://www.oxforddnb.com/view/article/8252 accessed 7 April 2008]
http://www.historic-scotland.gov.uk/index/heritage/gardens/gardenssearchsummary.htm?s=Arniston&r=&bool=1&PageID=2309 [accessed 7 April 2008]