The first album is supposed to be about the death of the main characters true love then the second one is about him trying to get her back by killing a thousand evil souls, then the third is about him dealing with his own mortality.

''Without a sound I took her down,''
He's taking the dead body to the well
I'm pretty sure she dies in 'early sunsets over monroeville'

''dressed in red and blue, I squeeze
Imaginary wedding gown
That you can't wear in front of me'
He is dressed in red and blue, he's taken the drugs from 'headfirst for halos' and he's mourning the fact she died before they got a chance to become man and wife.

''a kiss goodbye, your twisted shell...
Tomorrow we'll do it again''
There's loads of songs about keeping the body of the one you love
Just like 'early sunsets'
I think he like to play out a wedding with her everyday, then he gives her a kiss goodbye and the he'll come back the next day and do it over.

'i dragged her down...we'll do it again''
He's putting her back where he keeps her.

''i never thought it would this way
Just you and me we're here alone''
Obviously he always thought they'd be together in life.

''and if you stay...
All I'm asking for is''
This is his deal with the devil and he's just saying he'd've killed more because he loves her and he'll just keep killing to prove his love even at the cost of his sanity.

''these hands stained red
For the ttime I have have killed you...''
In 'early sunsets' he had to kill her since she became a zombie/vampire so this is about him reliving that moment.

''and then, we can wash down this engagement ring,
With poison and kerosene
And we'll laugh as we die
And we'll celebrate the end of thing
With cheap champagne''
I think this means in order for her to come back and for them to be engaged again, he'll be using poison to kill people and fire. Then when it's all over they''ll celebrate her being back with 'cheap champagne.

'without a sound, I wish you away'
I don't know about this bit
Maybe its when he's leaving her at the well he's trying to get her out of his head.

I don't know about some of the interpretations on here and I'm not saying mines is completely correct but the first paragraph is true, gerard way has spoken of themes of the albums.