I can't imagine they'd know each other personally although that really depends on how long she has been staying within Wellborough. Lark's infamy is generally focused around the Lower Market and hasn't really spread that far outside of it among the citizens. The Guard know of him, but that's their job. Who knows if the Council even cares, haha. Lark has spent about four years in the main part of the capital his previous fifteen in the farmlands on the outskirts.
Lark is very friendly towards children and animals but treats other adults with disdain and disrepect, generally, despite being an adult himself haha.
So, if it makes sense then I wont object to them knowing each other.