Ray
Bit more than you asked for, but its all down here if anyone else is interested in the firm. Taking into account lag of publication of Kellys, it looks like your photo was 1900 - 1911. Here is fuller history:
Fletcher Bros,photographers
Dates are dates of Kellys directories, refer to year before
1873
No Mention
1876, 1880
Fletcher Bros,photographers 148 Wheeler st
1883
Samuel Fletcher,photographer. 146-148 Wheeler st
STREET WAS RENUMBERED AT THIS TIME 146-148 in 1883 was same building as 212-214 in 1884
1884
Samuel Fletcher,photographer. 212-214 Wheeler st
1888, 1895, 1896
Fletcher Bros,photographers .212-214 Wheeler st and 15 Aston st
1899, 1900
Fletcher Bros,photographers 212-214 Wheeler st
1904, 1908, 1912
Fletcher Bros,photographers 212 Wheeler st
1913
212. Wheeler st. Lowe Oliver Benjamin, photographer
In 1913 there were two other photographer firms called Fletcher, but they both also existed in 1912, so firm didn’t change its name, just either disappeared or left Birmingham