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It appears to be used in France in the 18th century as both a male and femalename. Probably it is also a nn for Esme.
http://wwar.com/masters/b/bouchardon-edme.html
It seems likely that it was also used in Scotland at the same time.
http://wwar.com/masters/b/bouchardon-edme.html
It seems likely that it was also used in Scotland at the same time.