These lists are from the archived
http://www.regiments.org site:
<http://web.archive.org/web/20071219091730/http://www.regiments.org/regiments/uk/inf/005RNF.htm>
Not 100% reliable- he has this regiment's title wrong for mid- C19th but nonetheless a useful guide.
5th Northumberland Fusiliers [1st Bn 1857-]
1847 Mauritius
1857 India
1857 1st Battalion, 5th Regiment of Foot
redesignated upon formation of 2nd Battalion
1857 Sepoy rebellion aaa
1860 St. Helena
1860 England
1866 India
1879 Afghanistan Peshawar Valley Field Force
1880 England
1881.07.01 1st Battalion, The Northumberland Fusiliers
1881 England: Portsmouth
1882 Ireland
<1885> Ireland: Dublin
1887 England: Colchester
<1892> England: Dover
<1894> England: Aldershot
1895.12 Gold Coast: Ashanti war (det) CompositeBn
1896 Gibraltar
1897 Egypt
1898 Sudan
1898 Crete
1899 Gibraltar
1899.10 South Africa 9 Inf Bde
1903 Mauritius
1905 India: Peshawar
1908.02 NW Frontier
1908.05 Peshawar
<1912> Bombay
1913 England: Portsmouth 9 Bde
1914.08 France and Flanders
2nd Battalion, 5th Northumberland Fusiliers 1857-
1857.10.23 2nd Battalion re-formed at Newcastle-upon-Tyne
1857 England
1858 Mauritius
1862 South Africa
1867 England
1871 Ireland
1874 Channel Islands
1875 England
1880 India
1881.07.01 2nd Battalion, The Northumberland Fusiliers
1881India: Bengal
1888 Black Mountain expedition
<1889 > Hazara
<1892 >Peshawar
<1894 > Cherat
1895 Singapore
1896 Gibraltar
1897 UK
1899.11 South Africa 3 Inf Bde
1903 England: Gravesend
<1909 >Dover
<1912 >Sheffield
1913 India: Sabathu
1915.01 France and Flanders 28 Div