From the comment — not the question.
I am simply curious to see if what I am trying to do is possible.
The answer to “is it possible” is always “yes”. Always. Unless your question involves time travel, anti-gravity or perpetual motion.
Since the answer is always “yes”, your question is ill-formed. The real question is “what’s a good way to have my logging module know the name of the client?” or something like that.
The answer is “Accept it as a parameter.” Don’t mess around with inspecting or looking for mysterious globals or other tricks.
Just follow the design pattern of logging.getLogger() and use explicitly-named loggers. A common idiom is the following
logger= logging.getLogger( __name__ )
That handles almost all log naming perfectly.