Dud mortal Mab have biological children?

I'm working to debunk my tinfoil theory here.

1. Do we know if Maeve and Sarissa were Mab's actual children? I know the mantles of Queen and Lady impose the mother/daughter relationship, but do we know who was Lady before Maeve?

2. Either way, we suspect Mab as being Morgana le fay who hung out with the OG Merlin. Confirmed by Corb more-or-less. Is it possible they had a child?

3. Is it possible Margaret "le fay" didn't get the nickname because of her knowledge of the ways, but inherited it? From her great great great great ... ... grandmother - the original le fay?

It explains why Margaret was in good with the winter court.

I kept trying to make the connection to OG Merlin through Ebenezar, but maybe it's simpler than that. Maybe Harry is descendent of Merlin through Mab.