Hello. Do you know where and when James Mulling married Catherine Coffee? Was it in England or Ireland? Were either James or Catherine living in England when they were single?
What was the daughter's name? Were there more children? Civil registration of births began in Ireland 1864 so if there were younger children born in Ireland or England their births should have been registered, although not all were. If you can find all children of the marriage that would give you an idea of when Catherine was in Ireland or England. (James was not necessarily present.) Many births on GRO Index (England) have mother's maiden surname included, making searching easier. There's also a Staffordshire BMD site.
What is the earliest English census on which you have found James and Catherine? Did they live in Staffordshire all the time they were in England?
What was James' occupation?
If James was a householder he may have been eligible to vote after 1867 and his name might be on electoral registers. You would need to know Parliamentary constituency, ward and address.(England) He may not have been able to vote until later. He would be on ratepayers' lists if he was a householder. Lists of voters and ratepayers are compiled annually.
You will not be able to find out exactly when they moved. Since all they were doing was travelling within the UK there were no immigration or travel documents.
Mulling could be Mullin/Mullen/Mullins and Coffee could be Coffey and probably more variations.
