THE PLT LANDED A LAWRENCEBURG, TN, ON THE EVENING OF 8/28/83. THUNDERSTORMS WERE REPORTED IN THE AREA AT THAT TIME. AT LAWRENCEBURG, FUEL WAS AVAILABLE DURING DAYLIGHT HOURS. AT 0203 THE NEXT MORNING, THE PLT CALLED THE MUSCLE SHOALS FSS & OBTAINED A WX BRIEFING & FILED AN IFR FLT PLAN. HE DEPARTED LAWRENCEBURG AT ABOUT 0250. DURING ARRIVAL TO LAND AT THE SPIRIT OF ST. LOUIS ARPT, HE WAS ADVISE THAT THE WX WAS: SKY PARTIALLY OBSCURED, 1/8 MI VISIBILITY WITH FOG & HAZE, WIND CALM. ALSO, HE WAS ADVISED THAT THE OUTER MARKER LOCATOR WAS OUT OF SERVICE. THE PLT FLEW AN ILS APCH, BUT MADE A MISSED APCH. HE STARTED TO DIVERT TO WEISS ARPT (APRX 12 MI AWAY), BUT THE ENG BEGAN LOSING POWER FROM LOW FUEL. VECTORS WERE PROVIDED BACK TO THE SPIRIT OF ST LOUIS ARPT & THE PLT TRIED TO LAND AGAIN. SUBSEQUENTLY, THE ENG QUIT RUNNING & THE ACFT IMPACTED THE GROUND IN A NOSE DOWN, RIGHT WING LOW ATTITUDE. NO FUEL WAS FOUND IN THE WING TANKS OR ENG FUEL LINES. THE PLT WAS DUE TO BE AT WORK AT 0600 & HIS TRANSPORTATION WAS AT SPIRIT.