Magical powers were once thought to 'be attached to' the stone. [=the stone was once thought to have magical powers]
Little credibility 'was attached to' his story. [=people did not think that his story was very credible]
The shy child 'attached' herself 'to' her mother [=stayed close to her mother] during the whole party.
(..) You too. - Where should I sign? - Here. He can have everything, I just want my daughter. Our daughter is attached to me. She doesn't even want to go with you. - She doesn't know better. - Why not? She is years old. Please sign here (..)2011 A Separation