You don't have to 'hang your head low' to stay in Canada longer than six months. All you need to do is maintain legal status. I've been in Canada since July 2011 without ever leaving. I'm a US citizen and a visitor. As you can see in my timeline, I just started the PR process after 18 months here.
Once you enter Canada, you can stay until the date on your passport stamp or six months, whichever is first. Before your status expires (preferably 30 days) you go here: http://www.cic.gc.ca/english/visit/extend-stay.asp or to the border and flagpole. If you go to the border, it's best you have your girlfriend with you once she gets her PR. In your case, the online option might be best. If your status expires while you're waiting on the reply, you can stay. It's called Implied Status and covers you until CIC makes a decision.
The hardest part for you will be proving you have funds/means to support yourself, especially with your gf "Not working" at the moment. (She really needs to stop that under the table. If CIC finds out, she's done.)
As a visitor, you're also allowed to look for a job. I'm not going to really comment on the difficulty (my former company doesn't want to do a LMO) but it's possible.
For your current job, try getting an extended leave of absence. Once the baby is born, you might qualify for FMLA (I don't know enough about your company to know if they are covered by FMLA).
Keep in mind, you and your gf need to do something for her to sponsor you. Your current relationship doesn't count. So either you need to get married or bite the bullet and visit Canada indefinitely.
Once you enter Canada, you can stay until the date on your passport stamp or six months, whichever is first. Before your status expires (preferably 30 days) you go here: http://www.cic.gc.ca/english/visit/extend-stay.asp or to the border and flagpole. If you go to the border, it's best you have your girlfriend with you once she gets her PR. In your case, the online option might be best. If your status expires while you're waiting on the reply, you can stay. It's called Implied Status and covers you until CIC makes a decision.
The hardest part for you will be proving you have funds/means to support yourself, especially with your gf "Not working" at the moment. (She really needs to stop that under the table. If CIC finds out, she's done.)
As a visitor, you're also allowed to look for a job. I'm not going to really comment on the difficulty (my former company doesn't want to do a LMO) but it's possible.
For your current job, try getting an extended leave of absence. Once the baby is born, you might qualify for FMLA (I don't know enough about your company to know if they are covered by FMLA).
Keep in mind, you and your gf need to do something for her to sponsor you. Your current relationship doesn't count. So either you need to get married or bite the bullet and visit Canada indefinitely.