hi Erika

(good work hume

)
don't know if you have this -
i see from the 1881 scotland census that they had 3 children -
95 high st(grahams close) dunbar haddington
james h 5 born england
bertha 3 born ireland
arthur i(or l ? or j ?) 1 born ireland
IGI HAS -
bertha wellington born 27th april 1877 carlisle fort cork ireland
parents james wellington & martha begley(?) wellington
arthur john wellington born 11th nov. 1879 queenstown no2 cork ireland
parents james wellington & martha wrigley
might help you track his army service
there is also from freeBMD -
james henry wellington birth 4th quarter 1875 woolwich england
as you probably know the royal artillery had strong connections with woolwich
http://www.firepower.org.uk/ev