The Voyage of the Duc de Duras (1771-1773)
A Joséph Treguyer was on board for the duration of this voyage earning a wage of 24 livres. His father is listed as René (not Joséph), so there is a possibility that this is a different Joséph Tréguier, but his name, age (28), place of origin (Lorient), and physical description (small stature, black hair) are all consistent with the Joséph Tréguier we have come to know. We also know that our Tréguier was in Lorient in 1771, so it is quite possibly the same person.
Geographically speaking, this was Tréguier's longest voyage, travelling all the way to Canton (now Guangzhou) in China.
The Duc de Duras left Lorient in the last days of 1771 and arrived at Cadix (Cádiz), Spain, in February. It spent part of the summer in the Mascarene Islands and had arrived in China by September. It spent several months trading in the Canton region, presumably trading spices and other raw materials. Records of their actual activities are sparse; in general the French East India Company seems to have kept better records than its private successors.
The ship stayed in China until early 1772 and then made its way back to Lorient over the course of six months, stopping at the Cape of Good Hope along the way.