We caught Kate Moss and her boyfriend Jamie Hince (lead singer of the Kills) out about in Paris' legendary Quartier Latin yesterday afternoon. The couple was just walking around in relatively un-outrageous fashion - but not for long!

According to the Daily Star, Kate and Jamie stopped by the Le Pere Lachaise Cemetary to see the grave of Jim Morrison, the legendary frontman for the Doors. The couple had to stop by after hours, although the security guards were only too happy to let Kate take a look - until she started singing, that is!

Apparently, the supermodel was so moved by the spirit of the Lizard King that she felt compelled to break into song (specifically, "Alabama Song", an old Morrison-penned favorite). But the show didn't stop there - as soon as she wrapped up her spontaneous song, Kate went in for a big ol' snog with Jamie!

Surprisingly, despite Paris' reputation as the capital of love, the gendarmes were none too pleased at Kate and Jamie's display of PDA and, according to the Star's source, sent the pair packing. “The security guard was reprimanded and a giggling Kate and Jamie were ticked off," the source said. “It was hilarious and they left to get ready for Jamie’s gig still laughing and singing the main refrain from Alabama Song.”

Ordinarily we'd be shocked at behavior like this - but given Morrison's own history of recklessness, we kinda have to wonder if he wouldn't have approved!