I've not got as far back as 1681 with any of my research lines, so I can't answer your question - I take it you are specifically referring to marriages? (In your original question I thought you were asking about marriages and OPRs in general giving the father's name - sorry I misunderstood).
You say that Walter and Christian married in Cupar in 1681.
I have no idea if this is the same Walter, but there is this extracted baptism record on the IGI which no doubt you've seen:
IGI Individual Record
WALTER BOWMAN
Christening: 27 DEC 1657
Cupar, Fife
Father: JON. BOWMAN
Mother: BEATRIX TODD
Are you trying to tie this baptism in with the marriage to Christian to see if the father is the same?
I suppose the only way to see what information is on the OPR's is to purchase it via SP.
Sorry I couldn't be of more help.