"Currently, only 9 states (Alabama, Colorado, Kansas, Rhode Island, South Carolina, Iowa, Montana, Oklahoma, and Texas) and the District of Columbia recognize common-law marriages contracted within their borders. In addition, five states have "grandfathered" common law marriage (Georgia, Idaho, Ohio, Oklahoma and Pennsylvania) allowing those established before a certain date to be recognized. New Hampshire recognizes common law marriage only for purposes of probate, and Utah recognizes common law marriages only if they have been validated by a court or administrative order." see link
In the UK there is no legal term common law marriages, you're either married or you're not in UK law