"My man John" can be found in the Scarce Songs 1 file on my website, www.erols.com/olsonw, along with a lot of other bawdy songs from manuscripts, broadside ballads, and songbooks (See Scarce Songs 2 file for more).You will also find "Nash's Dildo" there from a manuscipt (not those used by Farmer in 'Merry Songs').
The original broadside text of "My thing is my own" can be found on the Bodley Ballads website by putting 'Traps Delight' in the Browse box. [Wood E 25(30), ZN1181 in the broadside ballad index on my website]