There are Quaker records for Ballynacree Meeting House in PRONI in Belfast, but I don’t think they go back to the 1690s. However you would need to get someone to check that.
Researching someone born in Ireland in the 1600s is usually pretty difficult. There are very few records to consult.
Findmypast has some Irish Quaker records on-line but as I say I don’t think there are any for Ballynacree in the 1600s.
I did look at the Ballynacree records in PRONI some years ago and as far as I can remember it was quite a small Meeting House with perhaps no more than 10 families attending.