- Should I bother applying for the marriage visa or should I just go back to NY and try coming back 2 months later to visit my husband (and give birth here) without a visa for now?
Well, you will need to go back to NY anyway, as you can't apply for a spousal visa from inside the UK... you must apply for it in the US.
If you meet the requirements for the spousal visa (a 'marriage visa' is a fiance visa), then it would probably be best for you to apply for it.
It's going to be risky to try to visit again so soon after visiting the UK already this year... especially as you are married to a UK citizen. Also, you are not supposed to spend more than 6 months out of any 12-month period as a visitor in the UK, so you shouldn't attempt to come back to the UK as a visitor until November 2013.
- Will giving birth here make things easier in terms of getting a visa?
As a visitor, you are not eligible for any free NHS treatment (except emergency ER treatment), so you will have to pay for all of your medical care and after-birth care yourself... which could be very expensive.
And if you don't pay for the treatment and you have any unpaid NHS bills of over £1,000, your visa will be refused.
- What are the processing times for getting a marriage visa from NY?
Currently about 4 weeks or so if you pay for priority processing, or about 6-8 weeks if you don't pay for the priority processing service
Is there any way to expedite that process and what are the processing times for that?
As I said just above, you can pay an extra $300 for settlement priority processing, which is supposed to get your visa processed within 15 working days.
It's taking a little bit longer than this at the moment (about 4 weeks or so) due to visa backlogs and the settlement visa applications now being transferred to Sheffield for processing.