I dont see a Pte W Bryan on the roll of Natal Rangers. I guess that it could have been a really late issue as it looks like WW1 naming as suggested, however the Forsyth Roll lists "Medal Officially Re Engraved and Re Issued. " and he doesn't appear there either.
The Natal medal was issued by the Natal Colony although it was approved by the King. I think that the medal was struck by Garrards on contract to the Natal Government. What happened to the unused medal stock after Union in 1910 is a matter for conjecture ( or as the dealers say, "''worthy of further research ! " ) . A number of years ago the late Ron Lock and myself bought the dies on an auction in London. Obviously Garrards had a clearance sale and not being British medals strictly speaking , they could be disposed of. We sold the dies on to a local museum. The dies were pretty worn.