Not wishing to open that long discussion already closed, I believe that the only bibles that were actually formally presented were those to members of the 2nd Battalion present Rorke's Drift still in Natal in October 1879 to January 1880. [The Mayor of Durban's address is dated January 1880, just before 2nd Battalion sailed for Gibraltar].
The bibles for those who had returned to UK (departed Port Natal 27 August 1879) , i.e. members of 1st Battalion, those hospitalised from 2nd Battalion, were probably sent to UK in bulk for distribution by the orderly room 1st Battalion - there is no evidence to indicate whether they were named or not.