Excerpts from the British Magical Society which, as can be seen, was founded in Birmingham in 1905.
In 1905 Mr. F.E. Walker invited a few magically-minded friends to his home in Birmingham and The British Magical Society was born. The Society is generally considered to be the oldest continuous of its kind in the world. For fifty years "Freddie" Walker held the position of Secretary, steering the Society through two World wars.
A number of temporary headquarters were used in the beginning, but for over 50 years a permanent home was found at the Imperial Hotel, Temple Street, in the centre of Birmingham. The society then moved to The Friends Meeting House (The Quaker Society) in Bull Street, and eventually to the Birmingham and Midland Institute where it remained for many years. Currently the Society meets at The Selly Oak Ex-Servicemen's Club, Selly Hill Road, Selly Oak, Birmingham B29 7DL
ADDENDUM:
I wonder, if by chance, that this might have been Mr. Walkers residence? The extract does state that he invited 'magically-minded friends' to his home. What we do not know is how long that arrangement lasted before a move to the first of the temporary headquarters mentioned.
This is all conjecture, of course, as the picture, whilst obviously an old one, does not necessarily refer to F.E.Walker (Freddie)