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I found a few hits in Google Books, first by doing an "advanced search" for "tide table" by years from about 1790 to 1800, then by wandering around looking at the terminology.
Example from 1800: This is part of an "almanac" / "almanack", and it calls the table as a table of "time of high-water" (aka, not necessarily a tide table)
So another search, using the term "high-water" found this, for 1778 - 1799, explaining how to calculate high water times in that era.
Then 1795 "high water" found this:
"The use of the following table of the Moon's Southing, to find the time of High-Water, and the Hour of the Night, to find the time of high-water in most parts of England:"