Did the bride of Frankenstein have a name?

IMDP lists the character from the 1935 movie "The Bride of Frankenstein" as 'The Monster's Mate'. She had no name in this movie.

http://www.imdb.com/title/tt0026138/

The 1985 film "The Bride" named her Eva.

https://en.wikipedia.org/wiki/The_Bride_%28film%29

By all accounts the creature is nameless.

http://classicfilm.about.com/od/earlysciencefiction/tp/7_Early_Movie_Monsters.htm
http://www.nationmaster.com/encyclopedia/Bride-of-Frankenstein

As a point of clarification, the name "Frankenstein" properly refers to the scientist, not the nameless monster; the "Bride of Frankenstein" of the film's title is twofold: the monster's mate (as intoned by Dr. Pretorius at the film's climax), and Frankenstein's new bride Elizabeth.

http://www.nationmaster.com/encyclopedia/Bride-of-Frankenstein

From the novel of Frankenstein by Mary Wollstonecraft Shelley at one point in the book it says that Frankenstein married his cousin Elizabeth. But shortly after she was killed.

https://en.wikipedia.org/wiki/Frankenstein

This is an area where there is confusion. Frankenstein was the creator and animator of the 'monster', which had no name. Therefore, Victor (book) and Henry (film) Frankenstein's bride is Elizabeth. In the book, the female was destroyed before animation. The Bride of Frankenstein film includes the marriage of Henry and Elisabeth, but the female created for the monster in the original Bride film had no name, and never was the monster's bride as she rejects him. He thereupon destroys both her and himself by bringing the tower down.
https://en.wikipedia.org/wiki/Frankenstein
https://en.wikipedia.org/wiki/Bride_of_Frankenstein

The name of the monster is Frankenstein's monster.

https://en.wikipedia.org/wiki/Frankenstein's_monster