At rootsireland there's a transcription for the baptism of a James McAllister in the CHurch of Ireland parish of St. Columb on 20 Nov 1723. Mother Isabella McAllister, Father Alexander McALlister.
Name: James Mccalister Date of Birth:
Date of Baptism: 30-Nov-1723
Address: Parish/District: ST. COLUMB'S
Gender: Male County Co. Derry
Denomination: Church Of Ireland
Father: Alexander Mccalister Mother: Isabell Mccallister
I hope this is helpful, thought the parents' names do not match the names of James's children...