LissaM
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Census information Crown Copyright, from www.nationalarchives.gov.uk
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Hi sprogx3, your question is a bit broad and I think the answer would depend on the era you are talking about and the specific situation. I would think that there is not a definitive,singular response.
Are you talking early immigration when Europe was exporting convicts and those who chose relocation in lieu of prison or a later period of time 
If your question stems from trying to find someone who you think did time and then whereabouts unknown, if you want and haven't done this already, you might want to post the details and see what can be found.
Best of luck in your search! lissa
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