She was born in Bath, United Kingdom to a Jamaican mother and British father.
Osborne is married to retired NBA player (and current TNT basketball analyst) Kenny Smith. The couple wed on 2 September 2006, and have a son, Molloy (named after Kenny's High School), (born March 26, 2008) and a daughter London Olivia Smith (born September 29, 2012). She and her family now have a reality show Meet the Smiths airing on Friday nights on TBS.