While he did not hold a naval command Inglis obtained the captaincy of the St. George a merchant vessel owned by Willing and Morris which was based in Philadelphia and traded with Britain between 1773 and 1775.
Unfortunately his ship was captured by vessels from the French fleet under the Comte d'Estaing during the Rhode Island campaign in August 1778.
Having been exonerated at a court martial in New York Inglis returned to Britain and In the spring of 1779 he was given command of the newly built 14-gunner HMS Delight which he sailed to North America in June.
[3] In 1793 he was one of the jury in the trial of Thomas Muir of Huntershill, one of the most important cases in Scottish legal history.
[4] He was then given command a new ship HMS Coromandel a 56-gun vessel originally built for the East India Company and converted for the Navy while under construction.
Inglis and his crew spent several months in a Norwegian anchorage before the vessel was towed back to Britain.
This 64-gunner was involved in the mutiny of the North Sea Squadron at Yarmouth with the mutineers moving the vessel to the Nore.
On the insistence of Inglis only two of his crew were arrested for mutiny; neither were tried and they were later moved to other vessels.. Belliqueux, was part of the North Sea Squadron at the Battle of Camperdown (11 October 1797) under the overall command of Admiral Adam Duncan.
[6] His third son, Archibald, joined the East India Company and reached the rank of Lieutenant Colonel.
His eldest daughter Jane Inglis married the naval hero Cpt James Coutts Crawford.
He is one of the several commanders illustrated in "Commemoration of 11 October 1797" a widely published engraving in remembrance of the Battle of Camperdown.