Way after the earlier posts, but some updated information.
Firstly just noting I now have a known DNA link across to the Burtenshaw family. Going back through my grandfather Harry Joseph Hillman 1902-1989, to his mother Mabel Kate Wells born 16 March 1882 baptised All Saints Deptford 30 April 1882 died 1963 in Southend area (her husband Harry Hoare Hillman was a musician in the Southend area). She's the daughter of Joseph Richard Wells 1844 -1910 of the Wells firework family and Mary Ann Haughton who confusingly perhaps had several years between birth and baptism - born 10 December 1845 in Fleet Street, baptised 1st May 1853 at St Katherine Cree, Aldgate.
Mabel Kate's sister Louisa Marian Wells b. 1867 but baptised 1873 apparently marries Edward Burtenshaw in 1886 in St Saviour District. Whilst Edward's not my family line and I haven't looked closely, it appears he might be the son of William Henry Burtenshaw born around 1843 in Ashford, Kent and Lucy Covill born around 1841 in Croydon.
One of their sons Edward Albert Burtenshaw b. 1895 or thereabouts marries Pansy Hewitt in 1915 and my DNA match is one of his grandchildren.
A few other notes that may be interesting / useful to someone:
Joseph Richard Wells was the son of Joseph Wells 1818 - 1871 and Susan Matilda Catherine Tucker. Not my research, but I was given marriage date 25 February 1844 at St Mary, Lambeth. Joseph 1818 had previously married Elizabeth Ann Mortram, daughter of Zachariah Mortram (whose father - also Zachariah - ran firework displays at Vauxhall Pleasure Gardens under the name Signor Vicenzo de Mortram), and Elizabeth Ann Pain of the Pain fireworks family.
Joseph Richard was born in Margate but his siblings all in or around Southwark.
Joseph Richard's son Joseph Christopher 1873 - 1923 married into a different Wells family, marrying Rose Pritchitt Wells. Rose's nephew was William Thomas, better known as Bombardier Billy Wells, British & Commonwealth Heavyweight boxing champion and Rank 'Gong Man' (and actor). Rose's eldest sister was Maud Mary Wells, who was the mother of the earlier-mentioned Harry Hoare Hillman. And noting I also have a DNA match across to the Pritchitt family (Rose and Maud's mother being Clara Ann Pritchitt 1835 - 1888 and my DNA link being descended from Clara's sister Eliza Pritchitt 1827-1902)
Mary Ann Haughton was the daughter of Thomas Haughton from Sittingbourne, Kent (born about 1811) and Mary Ann Douglas born 9 December 1806 in Chatham, Kent and baptised 4 January 1807 in Gillingham Kent. Mary Ann Douglas had previously married William Walker (26 August 1831 St Luke, Old Charlton) and married Thomas in 1842 in Lewisham district.