The earlier ed. contains the same songs, but oddly the long title is:

"The distracted sailor's garland. Beautified with two delightful New Songs. I. The distracted Sailor's Complaint for his Sweetheart marrying with another in his Absence, they being betrothed together. II. A new Scots Song, called, Nancy's to the Green Wood gane. III. Tommy Linn. Licensed and entered according to Order."

Despite the short title, there are three new songs, not two.

Unless "Tommy Linn" was not new.