Josie, from Menlo Park ... Lucy Clarkson, a British model from Rotherham, England, was allegedly David Blaine’s girlfriend in 2004. She gained fame as the fourth official Lara Croft model.

Anyone running into David Blaine in Times Square is in for a ... Blaine kissed and hugged his jittery girlfriend, Josie Maran. “Go home, get some sleep. I’ll be all right,” he told her.

In the end, it was David Blaine who was mystified after standing ... At one point, he desperately screamed at his girlfriend, model Josie Maran, who he thought was atop the ice.

Photos emerged of the iconic supermodel on a yacht earlier this week with magician David Blaine. As TMZ reported ... "Naomi and David are not dating," her rep told E! News.