I'm sorry to keep repeating myself - the registers merely have the father's name and not the mother's - the clerk's notes have twins adam cain [of] ye gill patk ye younger bapt in the house + philip ye elder in ye church [he was buried smallpox bal 1713-12-13].
These are the only twins to an Adam, the date is 1712-07-17 and the entry is in the Ballaugh Register

If you have an entry that has Alice Corlet mentioned then it is NOT a transcription of the register