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.
(..) Fine. I'm sorry. Thank you for the thoughtful gift. I really do appreciate it. As you know, I had become attached to my old laptop. But I'm sure, in time, that this one will... (gasps) Jeepers creepers, that started up fast! (..)2016 TvShow: The Big Bang Theory Title: The Solder Excursion Diversion Season: 9 Episode 19