Considering the importance of the Norman occupation (ahem) on social structure (such as the introduction of feudalism. I mean, highlight and underline this. Seriously), land ownership and so on, many of the differences would be so vast that it's impossible to speculate.
I took quite a bit of British and Irish history in college and continue to read up on it. I never really read anything that stated this but one can really see the social/class stratification that remains even to this day in England and link it back to the conquest. If you can recommend anything good I'd be much obliged. I'm sure that the landed classes surnames are even majority Anglo Norman today. I know that this definitely was the case in Ireland with many powerful Hiberno-Norman dynasties.
Another sidebar- do you think the social stratification would have any roots in Romano Briton times or is this a stretch. I'd think that culture was co-opted by the Anglo Saxon cultural influx.
