The street is first mentioned in directories in 1883. Then and before that there was a Thomas Bullock & Son , button manufacturers at Bullock Steam Mills, in Cliveland St, but this was some distance away. Thomas and others in his family (W.Bullock) served as governors of the Queens Hospital and subscribed to public appeals, and so is the sort of person that might have a street named after him, but, as far as I can see, he wa snot particularly prominent. There was an Alfred
Bullock, swho seems to have some property interests, but his main works were in Commerical st, even further away