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.
(..) No jumping up aIIowed. It's against doggie ordinance. What do you want? You want me to throw that? I'm very tired. I'II throw it one time. I won't throw it with you attached to it. You ready? Get it. Ipkiss! Turn down those cartoons! AIright, Mrs. Peenman! (..)1994 The Mask