Thank you for your interest Radcliff
The surname is ORNSBY a very unusual one.
I think you are correct in your assumption. I have now found an Eleanor born to JOHN DAVISON
Baptised 18th April 1779
The only other ORNSBY is a WILLIAM listed as a MASTER MARINER, probably her brother.
Maybe I can find out about Mariners through him.
If he studied for a ticket, as they call it, then maybe there are records somewhere.
Anyone any ideas?