Janice,
I believe that what you are hoping to find is the certificate which was given to the parents on the baptism day - which was separate from & additional to the standard entry in the church register.
I have a few such certificates relating to my wife's (Ashton-under-Lyne) family which, as you have mentioned, do contain the names of the godparents.
However, as these were individually presented to mark the happy event, I think it highly unlikely that there will be an online dataset which you will be able to source.
Willyam