Anne - I have details of a bap for my James Coull born in Cullen, Banff 21/6/1748, bap 22/6/1748.
It says he is named after James Earl of Findlater, James Lord Deskford, James Lawton of Cullen, James B Bailli.
They covered all the bases there with the local bigwigs!
Also gives name mothers of Margaret Ogilvie of Airdoch and Jane Grey. James Coull's parents were Patrick Coull and Ann Ogilvie. Some of their sons went to Antigua. There was probably a link between our Coulls. I haven't much on Patrick's family of origin. He was born about 1720 and died 1784 Cullen. He was a merchant.
I understand from a member of Family Tree Forum that the baby was commonly not handed to the father to give to the vicar to do the baptism but to name mother(s) or if she/they were not present, to the midwife.