What is meaning of the song monster by meg and dia?

It's the lament of a child born whose father "stole" her mother... thus, why the child is a "glass child" and also "Hannah's regrets"--presumably Hannah is the name of the mother.

I don't know if Meg and Dia wrote this or how true it is, I just interpreted the lyrics.

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Meg and Dia have stated in interviews that many of their songs are influenced by literature, and that it has had a big influence on their lives. Many of their songs are based on books: "Monster" was based on the Cathy Ames character in East of Eden by John Steinbeck; "Indiana" was based on Indiana by George Sand; and "Rebecca" was based on Rebecca by Daphne du Maurier. "Tell Mary" was based on Mary by Vladimir Nabokov."Courage Robert" was influenced by and written about Robert Schumann, a famous pianist and composer.

http://en.wikipedia.org/wiki/Meg_&_Dia

The song "Monster" by Meg and Dia is About a Boy who was never loved as a child, Thus not knowing what love felt like, When he grew up he later found a girl that he was violent toward, As he thought this was love, Although the girl was being abused by hum, She still fell in love with him. He then began to realize that he was only hurting her, And committed suicide by filling a bath with kerosene and lighting it on fire (Bathtub full of glow flies, Bathe in kerosene) Hannah was the name of the girl he was abusing, And Hannah's regret is the daughter they had together. The story is not true, It was based on a book.