I don't know if that's a good idea. Here's a bit of info about us:

Girlfriend:
*Paraplegic
*Has a 2 year old child.
*Lives with dad.

Me:
*Schizophrenic
*Lives with ex-step dad's mother
*No financial income

She says that she'd marry me because I would "put up" with her and understand her.

I was thinking that I could acquire some sort of income and/or an apartment and afterwards discuss marriage.

Her plan was to get married so that her dad would give her the house. Then get a car and find a job and go from there.