Yes, that would be correct if her first name were actually June. But there is no guarantee of that. The entire name “ June Bugg” was probably an alias. I probably met her in the office one day but I honestly have no recollection of what her real first name was.

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Junebugs or June bugs are a prolific and well-known beetle found in the southern and south-eastern United States. Chances are if she was using "bug" as the last name that "June" wasn't real either.