Hi Knellie,
According to the census it looks like Gaza Rowe kept the Musters Arms in 1881 & 1891
From the Freebmd it seems he died in 1891;
Deaths Jun 1891
ROWE Gehazi 80 Basford 7b 78
IGI Marriage M046271
18 JUN 1837 Alfreton, Derby
GEHAZI ROWE & ANN BURROWES
They are in Annesley in 1841 as Farmer; in 1851 still in Annesley at the Blue Bell Inn; 1861 Bell Inn,
In 1871 he is only listed as farmer and licensed victualer.
So it looks likely that John Trueman Barker took over after Gehazi Rowe, I hope it narrows your search down a little.
Sheila.