Tne broadside index, besides Stationers Register entry dates, notes folk song versions by Roud$#, Laws #, and Child#

so if you don't know the original tune you can usually find a traditional one in DT.
The broadside index usually gives only 1 traditional title, so you may have to search a bit in DT for it. For 1st below Laws didn't find the American traditional text (in BFSSNE), so there's no Laws number

DT: Young Bearwell, 1629

Forum: Buffalo Boy/ Dear Old Mountain Boy =Nicol o Cod, 1629

DT: Little Musgrave and Lady Bernard, 1630, Child #81

DT: Farmer's Curst wife, 1630, Child #278
   
Choice of Inventions, 1632, Facsimile in Opies ODNR

Stuttering Lovers, (can't find in DT) is from a manuscript of 1632 c 1632