A Manhattan socialite, distraught over her failing marriage, killed her 8-year-old son in a botched murder-suicide at a luxury Midtown hotel, police sources said Friday. Gigi Jordan, 49, was "babbling incoherently" when police found her on the floor of Room 1154 inside the Peninsula hotel on Fifth Ave. shortly before noon, the sources said. Her son - who was dead about a day - was face-up on the floor near his mom, with prescription pills scattered around the pricey room, the sources said. The dead child was "foaming at the mouth" from an apparent overdose, a police source said. There...