Use of "lay" as present tense equivalent of "lie" is not universal in American English, though it occurs in many dialects. (For example, I don't think it is prevalent in the coastal Northeast dialects. It sounds vaguely 'rustic' to me - I grew up in New York City.) It was traditionally considered incorrect by American English usage prescriptivists. Today perhaps it would be seen as a widespread colloquialism. I'm sure there are US-authored books on proper English usage that still call it out as incorrect or nonstandard.
Of course dialects have grammar rules which may be distinct (I assume that's what you meant instead of 'distant', 'distinct from what's officially supposed to be correct'). "Lay" for "lie" is not a matter of grammar, though, but vocabulary.