Elizabeth is a constant joy to the Frankenstein family; in fact, the parents have always hoped that Victor would marry this lovely girl who comes to the defence of Justine Moritz, the accused murderer of William Frankenstein.  Even Victor, who knows that Justine is innocent is not as willing as Elizabeth to defend her.  That he dissembles around Elizabeth is, indeed, an indictment against the integrity of Victor.  In Chapter 7 he tells Elizabeth

'She [Justine]is innocent, my Elizabeth...and that shall be prove; fear nothing, but let your spirits be cheered by the assurance of her acquittal.'

Yet, selfishly, Victor Frankenstein does not come forward with the truth; instead, he leads Elizabeth to believe that he is "kind and generous."

This selfishness is also blatantly evident after the creature tells Frankenstein will be with him on his wedding night, and Victor refrains from telling sweet Elizabeth anything.  Fatefully, she becomes a sacrificial victim to the ego of Victor Frankenstein. At the end of Chapter 7 Victor even accuses himself:

Thus spoke my prophetic soul, as, torn by remorse, horror, and despair, I beheld those I loved spend vain sorrow upon the grave of William and Justine the first hapless victims to my unhallowed arts.

Elizabeth, the lovely girl who "possesses a certain power over our minds which hardly any later friend can,"--he loves her --becomes a sacrificial victim for the creature of Victor, "the author of unalterable evil."

In Shelley's Frankenstein, people seem to love Elizabeth, including Victor. 

She is accepted by the family who takes her in (Victor's, of course), and considered a vital part of the family.

Furthermore, it is assumed and hoped that some day Elizabeth and Victor will marry.  That's how highly thought of she is.

And Victor considers her the perfect woman to be his wife.  Even after he is gone for years and been through all that he goes through (creating a creature, creating a second creature then destroying it before he brings her to life, having his best friend killed, etc.) he still returns to marry her.  And it is not just an arranged marriage.  He openly talks about his love for her.