GN is right: the 1660 date is from Stenhouse, who provided notes to the songs in the Scots Musical Museum, but has been damned by such musical historians as William Chappell (a notorious English patriot and debunker of Scots origins) as very often misguided, if not (at worst) positively fraudulent. That really means, he is not to be totally trusted for dates & whatnot. So the 1660 date is I think a mere guess. Patie Birnie, fiddler of Kinghorn (in my native shire of Fife) died in 1721 at the age of 86, so was born around 1635. When he wrote the song quoted by Ramsay can only be guessed at. What Ramsay says is:

Your honour's father, dead and gane,
For him he first wad make his mane,
But soon his face cou'd make ye fain,
When he did sough;
O wiltum wiltu, do't again?
And gran'd and leugh.

-- i.e. he could could do you a lament, but as easily sing a song to make you laugh. The song quoted has not been preserved, as far as I know; and this is probably because it was, as the title suggests, bawdy.

Ramsay continues:

This sang he made frae his ain head,
And eke, "The auld man's mare's dead--
The peats and turfs and a's to lead;"
O fy upon her!
A bonny auld thing this indeed,
An't like your honour.

This particular quotation is from the last verse as printed in the Museum.
--A portrait of PB was painted by William Aikman (1682-1731), probably about 1705-1710. It's been well described by Robert Chambers as expressing a combination of "cleverness, drollery, roguery and impudence", or, as Laing has it, "a face full of comic humour and indicative of genius" (Additional Illustrations to SMM, page *461). A small reproduction of it is in George S. Emmerson, "Rantin' Pipe and Tremblin' String" (1971), plate 15, which doesn't show the verse underneath [I've mislaid it, so can't quote it here). -- The minimal info in David Baptie's "Musical Scotland" (1894; repr. NY/Germany 1972) is based on Stenhouse & Laing. What else? Maybe Bruce O. can fill in here. Cheers Murray.