So far it is fairly clear that Sir Ralph Lane of Horton was her father: This is stated on the Pigot pedigree. BUT it has not been conclusively established that her mother was Maud Parr; it could be that another generation's Ralph Parr was her father.  However others have asserted that Maud was her mother, it looks highly likely so that's where I'm putting her.
Later: See pedigree in Lipscomb, on Doddershall, in Vol I, p. 406, which asserts that she was the daughter of Maud Parr