I don-t know just how up-beat these are, but at least, no one dies in them:
Cliffs of Duneen
The Curragh of Kildare
Eileen A Roon
I Know Where I'm Going
Queen of the Heathery Hills
I haven't checked yet to see if these are in the DT, but will. I'll add in lyrics to those I can't find there.
A lovely song with a strong woman in it is Factory Girl. The version I sing is closest to FACTGRL2 in the DT.
By the way, do you sing The Waggoner's Lad?
One of the few English Ballads I sing, with a happy ending, is Willie of Winesbury.