Free man or beloved
Carely is likely a modern American blend or a variant of names like Caroline or Carly. It draws from the Germanic root 'karl', meaning 'free man', or may be used as a diminutive of names containing the 'care' sound.
Less common today
Carely isn't in the latest US Top 1000. It last peaked at #8,591 in 2002.
US births per 5-year period, 1990βpresent (SSA data).