The History of 2nd Battalion 5th Northumberland Fusiliers Regiment gives several 'real' and 'on the paper' Establishment strength, and even the number of wives children and female servants following the battalion
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Establishment 1st april then 24th august 1870 – 600 then 800 men in 10 companies
I think it is quite easy to understand how many men for each 10 companies and the rest with HQ Regimental Staff
1 Lieutenant Colonel
1 Major
10 Captains
10 Lieutenants
4 Ensigns
1 Paymaster
1 Adjutant
1 Quartermaster
1 Sergeant-Major
1 Trained Bandmaster
1 Quartermaster Sergeant
1 Paymaster-Sergeant
1 Armourer-Sergeant
1 Sergeant Instructor of Musketry
1 Hospital-Sergeant
1 Sergeant-Cook
1 Orderly-Room-Clerk
10 Color-Sergeants
30 Sergeants
1 Drum-Major
20 Drummers
40 Corporals
460 then 760 Rank and File
1 Attached Surgeon
1 Attached Assistant Surgeon
in 1872 in Ireland there were only 552 men (more 121 wives and children)
in 1878 the Establishment passed to 1095 all ranks then 915
On the 1st January, 1887, the strength of the Battalion was 2 Warrant Officers, 44 Sergeants, 44 Corporals, 16 Drummers, 905 Privates ;
Nationalities : English, 829 ; Scotch, 52 ; Irish, 118 ; India and Colonies, 10.
in 1888 the Establishment was fixed to 1012 all ranks and the same in 1891
1889. On the 1st of January the strength was : -Warrant Officers, 2 ; Sergeants, 49 ; Drummers, 16 ; Corporals, 41 ; Privates, 998.
Nationalities :-English, 923 ; Scotch, 43 ; Irish, 130 ; Indian and Colonial, 6 ; Foreign, 2.
1891. On the 1st January, the strength of the Battalion was :-Warrant-Officers, 2 ; Sergeants, 50 ; Drummers, 16; Corporals, 42 ; Privates, 999.
Nationalities :-English, 966 ; Scotch, 23 ; Irish, 114 ; India and Colonies, 4.
1895. On the 1st January, the strength of the Battalion was as follows :-Warrant Officers, 2; Sergeants, 45 ; Drummers, 16 ; Corporals, 39 ; Privates, 866.
Nationalities :-English, 841 ; Scotch, 26 ; Irish, 109 ; Indian and Colonial, 11.