not to mention that morphy did seem to be well ahead of pretty much everyone at the time.
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i've read that thompson was considered in the top 10 of american players at the time.
I don't mean to insult the guy. Remember that the world over there were no professional players, and America was anything but a center of chess at the time. So how strong were America's top 10 in ~1850 ? How many of us could even name 3 :)
In my opinion Thompson would easily be under what today's standards would be an expert, I'm guessing around 1800.
Or to look at it a different way, lets say Morphy was low to mid GM strength. Morphy scored 71% in a knight odds match. Using the rating's statistics, 71% puts him at +160 to Thompson. Additionally, knight odds gives an 1800 player +600 (via Kaufman's analysis) So 1800+600+160 should roughly = Morphy and we get 2560, not an unreasonable estimate.
While if Morphy had been facing a weak expert we have 2000+160+ ~700 = ~2860 which is way too high of an estimate for Morphy... so actually, at least using this method, I wasn't too far off
I'm even more convinced that Thompson would be a weak "A" player (USCF) by today's standards.