I'm still not seeing much more than that family. This is their entry in 1871:
Wm Waddel 45, slate ??, b. Ireland
Jane Waddel 46, b. Ireland
James Waddel 20, turner, b. Ireland
William Waddel 18, Mauchline, Ayrshire
Agnes Waddel 16, Mauchline, Ayrshire
Agnes Waddel 6, Mauchline, Ayrshire ...I think this has been mistranscribed. There is an Andrew Waddle showing as born on 26 FEB 1865 in Mauchline to a William and a Jane TAIT.
Address: Cross, Mauchline
Monica
ADDED: If it does turn out to be the right family, that birth cert. for Andrew should include details on place and date of parents' marriage in Ireland.