After her first rebuild she was employed in the Irish Sea capturing four privateers and recapturing a sloop.

[2] Speedwell was the fifth named vessel since it was used for a galley captured from the French in the Firth of Forth in January 1560 and broken in 1580.

[6] She was commissioned on 4 April 1690 under the command of Captain John Mason, RN (died 5 February 1691).

Captain David Wavell, RN, took command on 15 February 1694 for service in Berkeley's squadron in 1694.

[8] She was commissioned in June 1702 under the command of Captain George Camocke, RN, for the Irish coast.

In concert with HMS Shoreham she took the privateers L'Adventure on 30 July 1705 and La Bonne-Francoise on 19 June 1706.

In November 1710 she was under command of Captain Philip Vanburgh, RN, still assigned to the Irish Sea.

[10] She was ordered to be rebuilt on 17 December 1715 at Deptford Dockyard under the guidance of Master Shipwright Richard Stacey.

[Note 3][11] She was commissioned in June 1716 under the command of Captain George Clinton, RN, for the Mediterranean.

In December 1716 Captain Robert Man, RN, took command for service off Sale, Morocco.

She was converted to a bomb-vessel by Admiralty Order (AO) 9 July 1719 for £3,220.14.11d[Note 4] between June and August 1719.