Jack Campin wrote:-
"Hall and Buchan's "Scottish Folksinger" book"

Norman Buchan had produced the earlier, highly influential songbook. 101 Scottish Songs (Wm. Collins 1962) - the famed "Wee Red Book" - but by the time the follow-up that Jack mentions (Wm. Collins 1973), the book was mainly the work of Peter Hall - singer, member of The Gaugers and prominent song collector in the North-East of Scotland rather than the very busy Norman Buchan - MP for two Glasgow area constituencies at various times. (see http://en.wikipedia.org/wiki/Norman_Buchan or Google his name for many other references.)
Mary Mack is on Page 66 of the Scottish Folksinger and was one of two songs collected by Peter from Jake Mitchell of Peterhead - the other being Tatties and Herrin'.

Though he was a great song collector - there are 694 recorded items lasting some 28 hours - Peter did not catalogue his recordings properly or keep detailed notes and dates. After Peter's death, the task fell to fellow Gauger Tom Spiers who has completed a magnificent job of cataloguing and digitising all the cardboard boxes of tapes. Tom has attempted to log the tapes in chronological order and the recording of "Mary Mac" as it is called here seems to have been amongst Peter's early recordings; it is item 29 on Tape A06 and this version is as published in The Scottish Folksinger. I would have thought that it is very unlikely indeed that Tommy Makem had anything to do with the writing of it.