You are likely referring to Adriana La Cerva, who goes by "Ade". The iconic, distinctly hand-painted Italian coffee cups used on the show are manufactured by Caleca in the pattern called Meadow.
Because these vintage mugs are no longer in production, they are a major collector's item for Sopranos fans.

MugMeadowby Caleca

Product Information

  • Height: 4 1/8 in
  • Width: 3 5/8 in
  • Crafted In Italy
  • Hand Wash
  • Discontinued Piece
  • Piece Code: MUG