Thanks. Basically, it means I'm stumped trying to find Margaret's mother.
There's a Christening record for Margaret Rutter, daughter of Roger, in Aughton on 4 June 1613 which I believe pertains to this person. Apart from Margaret, I can find just one other Christening record for a Richard Rutter, son of Roger, in Croston on 8 Aug 1595. That's a long time gap between children, assuming we're dealing with the same Roger Rutter.
The 1595 Christening probably aligns with the marriage of a Roger Rutter to Jane Yate in Croston on 17 Jan 1592/93. However, it's not clear whether we are dealing with the same Roger Rutter. The will mentions £10 owed to Roger from a Richard Rutter but it's not stated whether Richard is his son, and the only provisions in the will are for Jennet, Roger's "wellbeloved" wife and his illegitimate daughter, Margaret.
'Tis a puzzlement!