It is mentioned in the Order of Battle of the Egyptian Expeditionary Force (by the way, that's the Palestine theatre, not East Africa)
see page 81 here
http://www.archive.org/details/briefrecordofadv00grearichquote:
HOSPITALS AND CONVALESCENT DEPOTS.
Palestine Lines of Communication.
69th and 78th General Hospitals.
No. 14 Australian General Hospital.
Nos. 5, 30, 32, 39, 41, 44, 50 (formerly "Indian Base Hospital"), 54th, and Mhow,
Indian General Hospitals.
Nos. 3, 4, and 5 Prisoners-of-War Hospitals.
Nos. 1 (formerly No. 6), 2, 3, and 4
Egyptian Stationary Hospitals.
Nos. 1, 3, 4, 5, 6, 7, 8, 9, 10, 11, and 12 Egyptian Detention Hospitals.
At some time it seems to have changed its name to No.1 Egyptian Stationary Hospital
but alas there is no information re its whereabouts
A brief description
'The Work of the Medical Services' is given on pages 104-5
Sorry I can't be more help, but hopefully an expert will be along soon
And I dare say it would help them if you could gives the dates involved here
Good Luck