Many people have Jane as daughter of Ralph of Drayton by Joan de Beauchamp, but he dvp, as indicated by his will (source: CP - see Ralph 3rd Baron Basset, of Drayton's entry in my files). Also indicated by his heirs is that Ralph had only one sister (Isabel, who may have been a full or half sister); so Jane is also not a daughter of the prior generation (Ralph of Drayton & Alice Audley).
I see by the soc.genealogy.medieval that at least one person (Sid Telford) has Jane as daughter of Ralph Basset of Sapcote by Alice Driby. The dates would support such a pedigree; although the Complete Peerage mentions no daughter named Jane for Ralph of Sapcote, who died without male heir, but I find it easier to conceive of "missing" a daughter when one has at least two, than to "miss" a daughter when indications are that you had no heirs/children.
I have found no written source for Jane, although I find a hint that "Magna Charta Barons" and "Burke's Extinct Peerage" might have indicated Jane was daughter of Ralph of Drayton & Joan de Beauchamp (which may be the source of the numerous people who have the pedigree that way). One of the hints is from Dave Utzinger, which has "MCB" as the source for Jane being daughter of Ralph & Joan. Dave sent an e-mail to soc.genalogy.medieval in 1998 indicating Jane was daughter of Ralph & Joan, however he has since removed Jane from that relationship.
Of course Jane could be an illegitimate child; but I will place her as daughter of Ralph of Sapcote until more information arises.
Most people give Jane a birth year of 1378, with a son John b. 1384 (mother at the age of 6!). Some have 1368, which seems reasonable. Also her son John might have been born later than 1384.