"Da Full Rigged Ship" is a Shetland jig. It is often played in a medley with "Da New Rigged Ship".
A full-rigged ship or fully-rigged ship is a term denoting a sailing vessel's sail plan with three or more masts, all of them square-rigged. A full-rigged ship is said to have a ship-rig or be ship-rigged.
It was printed in Cooke's The Fiddle Tradition of the Shetland Isles (1986).
This jig was recorded by Aly Bain & Alle Moller on their Fully Rigged CD. As usual, they play it in a set with "The New Rigged Ship". It was also recorded by Abby Newton on her Crossing to Scotland CD. I learned it from both recordings.