Modern invention, likely combining Jasmine and the suffix -line.
Jazline is a contemporary American creation. It most likely functions as a creative variation of Jasmine, a Persian floral name, blended with the popular 'line' suffix found in names like Adeline or Madeline.
Less common today
Jazline isn't in the latest US Top 1000. It last peaked at #5,329 in 2009.
US births per 5-year period, 1990βpresent (SSA data).