Alright, so, to sum up:
The OP noticed heavy condensation (“dew”) on a number of outdoor surfaces during the late afternoon / evening, on a day that didn’t feel like it was particularly hot nor humid. The OP had never seen something like this before, at that time of day, back home in Scotland, and wondered if this phenomenon was typical in the U.S., or if humidity is measured differently (or functions differently) in the two countries.
Short answer: heavy condensation / dew during daylight hours is atypical here in the U.S.; there was likely an unusual phenomenon going on that day.
Generally, there are three conditions that are going to cause condensation like that:
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The ambient air temperature drops to the dew point, causing the air to become saturated, and condensation to form. This is the usual mechanism for dew to form in the overnight hours, though in the OP’s example, if a cold front had gone through, and the air cooled enough for it to lower to the dew point, that may have caused it.
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The air becomes more humid (i.e., a moister air mass moves into the area), without an accompanying increase in temperature. With more water vapor suddenly in the air, the air reaches its dew point, and condensation suddenly starts to form.
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The surfaces on which condensation is forming are cooler than the ambient temperature (and cooler than the dew point), causing condensation to form on the surfaces.
As the OP notes that the surfaces which had condensation were probably not being artificially cooled (e.g., fence posts), I suspect that it wasn’t condition #3.
The OP also notes that he doesn’t remember it suddenly feeling cooler at that point, so that points away from condition #1. And, unless the air had already been close to the dew point, it would have taken a substantial decrease in the air temperature to start dew forming, which likely would have been noticeable.
My educated guess, therefore, is that it was condition #2 – a more humid air mass had moved in, causing the air to suddenly become saturated.
One last point: several of us have noted that what the OP observed is, generally, very unusual, even here in the U.S., at that time of day. That said, there are such things as microclimates – small areas which, due to the surrounding geography, weather patterns, etc., may regularly experience weather conditions which aren’t typical elsewhere. (San Francisco is an example of a place with multiple microclimates.) It is possible that Ocean City has a microclimate, and that late afternoon dew isn’t that uncommon there; without talking to locals, or doing some research, I don’t know. Even if it is the case that Ocean City regularly gets late-afternoon dew, it’d have to be via one of the mechanisms I describe above – it just means that such conditions happen more often there.