A country wide list of the old bumerke used across Norway? No, I do not believe so.
You are curious about 'Bjalaand' farm in Kviteseid district of Telemark? You might try the bygdebøker for that district “Kviteseid bygdesoge”, 3 volumes by Torjus Loupedalen. There is no automatic guarantee that bumerke are included in those books -- but they might.