There are two versions in the Bodleian Library, Ballads catalogue.
1. The Sea-Fight between Captain Ward and the Rainbow. Printed between 1711 and 1732, by T. Norris, on London Bridge, London. Douce Ballads 1(80b). Twelve verses each of eight short lines. "To the tune of Captain Ward, etc." In MS is added that the tune may be "I wish I was a fair maid as I am a bonny ..."
A Famous SEA-FIGHT BETWEEN Captain WARD and the RAINBOW

Strike up yon lofty gallants with musick and sound of drum,
For we have descryed a Rover upon the sea is come,
His name is Captain Ward, right well it doth appear,
There has not been such a Rover found out this thousand year....


Bodleian Ballads catalogue, Douce Ballads 1 (c80b), between 1711-1732.

Obviously the Bodleian sheet of 1711-1732 is a copy of Child 287A

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2. Ward and the Pirates. Firth c12(6). Printed between 1849-1880, The Poets Box, Glasgow. Air- The Wild Rover. The Captain Ward given by Hall may be a condensation of this broadside of ten verses, 4 lines each.