No family connection- just became interested in the work of his partner, HJ Paull- and it all went on from there. I only know of a few buildings- most of which have been demolished. The main commission was Christ Church on Westminster Bridge Road- which I expect you have found by Googling- now sadly demolished, except for the tower. I have a fair few images of it- but it was similar in style to Cubbitt's Union Chapel in Islington- so if you ever get the chance to visit that building it will give you a fair idea.
Frustratingly, no office records survive- so I am piecing their works together. The ones I have so far are:
Parish Church, Baxterley, Paull & Bickerdike, 1872-75 (alterations): Christ Church, Westminster Bridge Road, London, Paull & Bickerdike, 1872-76 (dem): Hawkstone Hall, Westminster Bridge Road, London, Paull & Bickerdike, c 1872-76 (dem): Congregational Church, Chorlton Road, Manchester, Paull & Bickerdike, 1873 (dem): Union Chapel Competition Entry, Islington, Paull & Bickerdike, 1874-75 (unsuccessful so unbuilt); Board Schools, Ilminster, Somerset, Paull & Bickerdike, 1875-77 (extant- probably Ditton Street, Ilminster and Horton): Skating Rink, Victoria Baths, Peckham, Bickerdike, 1876 (dem): Cadeby Church, Leicestershire, Bickerdike, 1878 (alterations): Church of Our Lady, Merevale, Bickerdike, 1878 (alterations)
In 1871, when Alfred Bickerdike was working as an architect, he and his family were living in a single house near Hanover Square, yet in 1881 and 1891 (after he had parted company with Paull) the family were lodging in shared houses in St John’s Wood. But by the end of the 1890s they were reputedly contemplating sending their son to Eton. There would appear to have been a dip in their fortunes, after Alfred left architecture to become an artist, followed by a sharp rise in the 1890s. Did Alfred Bickerdike come into an inheritance following the death of his father and mother in 1881 and 1887 respectively?
Would be interested in any background (especially images!) you may have!
S