Courtney Love played an impromptu acoustic session at Electric Room at Dream Downtown on Saturday. Sources tell us that Page Six’s favorite female rocker “Looked beautiful wearing a black top and black and white, long, floral skirt and performed with the candlelit fireplace behind her. She played a couple of songs including ‘Miss World.’ Everybody stopped to listen and take videos and pictures. Soon people were tweeting, which resulted in an instant rush at the door.” But despite the commotion, Love stuck around and hung out by the fireplace, drinking Deleon Diamante Tequila and left a little after 3 a.m.