"An american whaler delivered a letter to the Governor from friendly King of Hawaii. King Kamehameha III warned Russians that it has reliable information about a possible Britain-French attack in the summer on Petropavlovsk."
It can be concluded that up to 1917 the United States and Russia have been good friends.
P.S. Ah, not the War of independence but I found else it in english wiki https://en.wikipedia.org/wiki/Russian_Empire%E2%80%93United_States_relations
"During the American Civil War, Russian-American relations were very generally cooperative. Alone among European powers, Russia offered oratorical support for the Union, largely due to the view that the U.S. served as a counterbalance to the British Empire.
During the winter of 1861–1862, the Imperial Russian Navy sent two fleets to American waters to avoid their getting trapped if a war broke out with Britain and France. Many Americans at the time viewed this as an intervention on behalf of the Union, though historians deny this.[17]
Alexander Nevsky and the other vessels of the Atlantic squadron stayed in American waters for seven months (September 1863 to June 1864)"

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