In Act II, Scene II of Shakespeare’s play, the line is said by Juliet in reference to Romeo’s house, Montague, which would imply his name means nothing and that they should be together.
O Romeo, Romeo! wherefore art thou Romeo?
Deny thy father and refuse thy name;
Or, if thou wilt not, be but sworn my love,
And I’ll no longer be a Capulet.
[Aside] Shall I hear more, or shall I speak at this?
‘Tis but thy name that is my enemy;
Thou art thyself, though not a Montague.
What’s Montague? it is nor hand, nor foot,
Nor arm, nor face, nor any other part
Belonging to a man. O, be some other name!
What’s in a name? that which we call a rose
By any other name would smell as sweet;
So Romeo would, were he not Romeo call’d,
Retain that dear perfection which he owes
Without that title. Romeo, doff thy name,
And for that name which is no part of thee
Take all myself.
I take thee at thy word:
Call me but love, and I’ll be new baptized;
Henceforth I never will be Romeo.