By StyleWatch
May 19, 2010 01:00 PM

Lucy Nicholson/Landov

No look for Lady Gaga is ever quite complete without a headpiece. So it comes as no surprise that the singer would be interested in millinery. And who better to learn from than legendary Irish hat maker Philip Treacy–the couture hat designer behind her unforgettable Grammys lightning bolt headpiece, Sarah Jessica Parker‘s famous green topper for the London Sex and the City premiere and a favorite of the late fashion icon Isabella Blow. But whether or not Gaga follows in the path of stars like Ashley Olsen in becoming a design intern remains to be seen. “While nothing is set in stone, it is true that she has requested an internship with Philip,” confirms a rep for the label. Having collaborated with Philip Treacy on a number of her most-famous headpieces, we think this would be a match made in fashion heaven! Stay tuned for more details. Tell us: Do you think Lady Gaga should design her own headpieces?Andrea DeSimone