*Following the birth of her sixth child, Lauryn Hill is finally clearing up two big Internet rumors: Rohan Marley did not abandon her while she was pregnant, and he is not the baby’s father.

The blogosphere has been abuzz after word came last week that the reclusive Grammy winner had a baby boy. Marley, the father of her five other children, sent a message on Twitter “forwarding all well wishes to Ms. Hill on the birth of her new son.” That tweet, along with pictures showing him in an embrace with another woman, created speculation.

Hill, who has rarely discussed their relationship, posted a message on Twitter and her website Tuesday defending Marley. She says they’ve had a “long and complex history” but love their five children together.