Inside the Keeper's room, click any of the tapestries
Search for a tapestry representing Bayle. Walk near the one with a Claymore on it.
Search for a tapestry representing Eylee. Walk near the one with a Mandoline on it.
Search for a tapestry representing Fiddlezip. Walk near the one with a Overall on it.
Search for a tapestry representing Kruzz. Walk near the one with a Fork on it.
Search for a tapestry representing Asharae. Walk near the one with a Robe on it.
Search for a tapestry representing Kaltuk. Walk near the one with a Robe on it.
Search for a tapestry representing Nurgg. Walk near the one with a Shield on it.
After you run into each tapestry to update the named ethernauts, it asks you to find a hidden tapestry, that tapestry is behind a broken stone pillar near the entrance door in the same room with the other ones just have to keep running around the pillar. Find the missing one behind the name.