I can see various baptisms of the children in Andreas:

1761 - 8 March - Joney
1763 - 23 March - William
1765 - 11 Aug - John
1767 - 8 Nov - Ann
1774 - 20 Feb - Esther

Looking at burials there are a lot of John Cleators but less so Joneys. Joney doesn't seem to be buried on the island unless she remarried. I've looked at Joney Cleator marriages around the time but no widows mentioned. Perhaps this family left the island c1770s?