It could potentially refer to:
* Someone who comes from Bejar: This is the most likely origin of the surname.
* Someone who has a connection to Bejar: This could include someone who lived there, whose family came from there, or who has some other connection to the town.
The meaning of the surname "Bejarano" is "from Bejar".
Without more context, it's difficult to determine exactly what the surname means to a particular person.