After we got back from the Gathering, Ann Finley kindly sent me the following list of "other mode" songs. We'd been talking about the subject then, and I only had one or two tunes off the top of my head.
The Cripple Creek Dulcimer Book, by Bud & Donna Ford (Mel Bay series)
Phrygian - page 70 - Summer Fog
page 71 - The Holey Leg Band
Lydian - page 74 - Daddy's Little Helper
page 75 - Phary's Song
Locrian - page 78 - Battle Mountain Meditations
page 79 - Gentle Thoughts Meditative Chant
Four and Twenty Songs for the Mountain Dulcimer, by Lynn McSpadden w/music transcribed by Dorothy French
Phrygian - page 36 - Hold On
The Dulcimer Book, by Jean Ritchie Phrygian - page 36 - O Johnny's On The Water
page 38 - Pretty Polly - she notes that this is also good in a minor key
Moods of the Dulcimer, by Virgil and Norman Hughes (Mel Bay series)
Lydian - page 54 - The Devil's Away
Locrian - page 55 - The Locres
Phrygian - page 74 - Pretty May Morning - note says this one sounds right in Phrygian or Aeolian and Locrian mode may also be possible.
First, I'll say what works for me in identifying the mode of a song and nobody has to agree with what works for me. Roger Nicholson's explanation of modes in the past Dulcimer Players News listed each mode as having all 7 notes of the scale. In my research on the traditional tunes (Child ballads, Roud, etc.), the person who captured the song to sheet music might list a song as a given mode or pentatonic or hexatonic or other characterization for the scale being used in the song. Many of the old dulcimer books listed a song in a given mode when the song didn't have all 7 notes of the scale for that mode, but the dulcimer tuning became named as a mode. From there I went through my dulcimer learning pattern thinking for example if I was tuned DAD, everything I played in that tuning was Mixolydian. I even composed one of my own tunes in DAD and titled it Mixo Em because it had a lot of E minor chords. When I looked at the notes on the melody string and where the song began and ended, I discovered if the melody was played on a dulcimer tuned EBG, the melody was Phrygian. So, I feel bad about the title of the tune, but I'll leave it as is for now as it is an exclamation point in my education on modes.
So, here's Roger Nicholson's explanation on modes.
With everything above, I will list a song in a given mode after I verify it has all seven notes of the scale as described by Roger.
So here are some songs and tunes I consider to be Phrygian mode.
"The First Noel" if one plays the version where the melody starts and ends on the 5th fret.
"Muss I Denn" when played starting on the 3rd fret and ending on the 5th fret.
"Pange Lingua Gloriosi" is a common song for Holy Week, but it starts and ends on the 5th fret.
"Los Bilbilicos" is part of the melody behind Richard Farina's "Swallow Song". "Los Bilbilicos" starts and ends on the 5th fret.
For Lydian Mode, some versions of "Ground Hog" start and end on the 6th fret.
I think I know of another and will post it when I find it.
I recorded an example of a tune in Locrian Mode called "So Be Locrian" that starts and ends on the 2nd fret. Somebody just wanted to know how a song in Locrian mode would sound and that's what came to me. My recording of "So Be Locrian" is on my Soundcloud site.