Thanks to Barbara 

intriguing suggestion  we like to learn more about :

 Another ship called L’Espérance

We know that Jeroen Aldertz Vlieland ran the Rotterdam to Topsham and Rotterdam to Perth trips on his ship, L’Espérance (Hope), but an even more famous ship bore that name before her.

This was a French scow (fully rigged wide-beamed sailing dinghy) of the Rhône class of the French navy, launched in August 1781 and reclassified as a frigate (noted for speed and quick movement) 10 years later. Built in Toulon in 1780, her original name was Durance (Durability), and she served as a troop ship in the squadron of the Compte de Grasse until, in December 1782, she  joined a convoy to the West Indies, part of an unsuccessful plan to capture Jamaica and the British colony of the Windward Islands.

L’Espérance is next heard of  in September 1791 when, under Captain Huon de Kermadec, she sailed from Brest to New Caledonia  to search for Jean-François de la Pérouse, an explorer sponsored by King Louis XVI to emulate (and outdo) Captain Cook’s voyages of discovery. Pérouse’s two ships were last seen in the area of Botany Bay in Sydney, Australia, but then vanished without trace, although some wreckage was found in 1826.

In October 1793, L’Espérance was anchored off Surabaya in Indonesia when she was captured by the Dutch. She was returned to France in February 1794; in September, she was sold to Holland and in October decommissioned and broken up for scrap.

Did Jeroen name his ship after this famous ancestor?

Thanks are due to Military Wiki for some of the information in this post.