Well, let us see what we have here at the Mudcat Café. A couple of hours of fun with the Mudcat search engines yield the following result:

• Aiken Drum
• The Battle of Prestonpans
  • The Battle of Prestonpans (DT)
  • The Battle of Prestonpans (forum message)
• The Boar and the Fox
• Bonny Moorhen
• A Boy's Song
• Cameronian Cat
• Charlie Is My Darling
  • Charlie Is My Darling (forum message)
  • Charlie Is My Darling (DT)
• Donald McGillavry
• The Fate Of Charlie
• Flora McDonald's Lament
• Good Night and Joy (and other stuff)
• The Haughs O' Cromdale
• The Highlandmen Came Down The Hill
• Isle of Skye
  • Isle of Skye (thread group)
  • Prince Charles And Flora Macdonald's Welcome To Sky (DT)
  • Prince Charles And Flora Macdonald's Welcome To Sky (forum thread)
• Laddie Lie Near Me
• Ladies' Evening Song
• Lady Keith's Lament
  • Lady Keith's Lament (thread group)
  • When the King Comes Over the Water/Lady Keith's Lament (forum thread)
• Lock The Door, Larriston
• O'Doherty's Farewell To Scotland
• Piper O'Dundee (and other stuff)
• Teribus
• This Is No My Ain House
• Wae's Me For Prince Charlie
• Welcome, Royal Charlie
• Wha Wadna Fight For Charlie?

And just for the sake of completeness, there is this thread: James Hogg Poems, although it doesn't contain much.

I have only listed entries where James Hogg is the author or a major source. I have not included entries where he is only mentioned in passing. If a Joeclone (or the real MacCoy) feels like editing this message when new information is found, that would be fine with me.