Sorry, Nigel: but ref to those online dictionaries does not disguise your ignorance of literary history. Works which have included the word ballad in their titles without any reference to intention of singing are legion. I would predominantly point you towards {wiki}

Lyrical Ballads, with a Few Other Poems is a collection of poems by William Wordsworth and Samuel Taylor Coleridge, first published in 1798 and generally considered to have marked the beginning of the English Romantic movement in literature. The immediate effect on critics was modest, but it became and remains a landmark, changing the course of English literature and poetry. Most of the poems in the 1798 edition were written by Wordsworth, with Coleridge contributing only four poems to the collection, including one of his most famous works, "The Rime of the Ancient Mariner"

Let's hear you have a good go at singing "The Ancient Mariner", then. To say nothing of Wordworth's

Old Man Traveling; Animal Tranquillity and Decay, a Sketch
The Complaint of a forsaken Indian Woman
The Last of the Flock
Lines left upon a Seat in a Yew-tree which stands near the Lake of Esthwaite
The Foster-Mother's Tale↑
Goody Blake and Harry Gill
The Thorn
We are Seven
Anecdote for Fathers
Lines written at a small distance from my House and sent me by my little Boy to the Person to whom they are addressed

And I hope it keeps fine for you.

~M~