The tweet from Love's private account cbabymichelle read: "i hear from frannies roommate that @davegrohl hit on frances, and that she was curious, i am not made at her, him i am about to shoot, dead (sic)".
The move has forced 19-year-old Frances Bean from her usual dignified silence over her mother's actions.
''While I'm generally silent on the affairs of my biological mother, her recent tirade has taken a gross turn." She said, "I have never been approached by Dave Grohl
in more than a platonic way. I'm in a monogamous relationship
and very happy. Twitter should ban my mother.''
Frances obtained a restraining order against her mother in 2009 and court papers recently released claimed she was terrified the Hole singer would cause both of their deaths in a fire.
She said in a sworn court statement: ''[Love] has taken drugs for as long as I can remember. She basically exists now on ... Xanax, Adderall, Sonata and Abilify, sugar and cigarettes.
''She rarely eats ... She often falls asleep in her bed while she is smoking, and I am constantly worried that she will start a fire (which she has done at least three times) that will threaten our lives.''
Dave Grohl, who has been married for the past seven years also hit back at Love's claims tweeting: "Unfortunately Courtney is on another hateful Twitter rant. These new accusations are upsetting, offensive and absolutely untrue."