The National Archives of the UK; Kew, Surrey, England; General Register Office: Registers of Births, Marriages and Deaths surrendered to the Non-parochial Registers Commissions of 1837 and 1857; Class Number: RG 4; Piece Number: 4660. Ancestry.com. England & Wales, Non-Conformist and Non-Parochial Registers, 1567-1970 [database on-line]. Provo, UT, USA: Ancestry.com Operations, Inc., 2013.
The life of the Right Rev. Daniel Wilson, D. D., late Lord Bishop of Calcutta and metropolitan of India, Josiah Bateman, 1860. 
Volume 5 of National Portrait Gallery of Illustrious and Eminent Personages of the Nineteenth Century: With Memoirs, William Jerdan. Fisher, Son, & Jackson, 1834. Oxford University. 
"England and Wales Non-Conformist Record Indexes (RG4-8), 1588-1977," database, FamilySearch (https://familysearch.org/ark:/61903/1:1:FWXN-DJ5 : accessed 5 October 2015), Daniel Wilson, 02 Jul 1778, Birth; citing p. 179, Cripplegate, London, record group RG4, Public Record Office, London.
Guildhall, St Lawrence Jewry, Register of marriages, 1794 - 1812, P69/LAW1/A/01/Ms 6981. Ancestry.com. London, England, Church of England Marriages and Banns, 1754-1921 [database on-line]. Provo, UT, USA: Ancestry.com Operations, Inc., 2010.
It may be possible to confirm family relationships with Daniel by comparing test results with other carriers of his Y-chromosome or his mother's mitochondrial DNA.
However, there are no known yDNA or mtDNA test-takers in his direct paternal or maternal line.
It is likely that these autosomal DNA test-takers will share DNA with Daniel: