Call your local city councillor or MPP and see if they'll help you out. I have had fantastic experiences with the city councillors in my neighbourhood. Try to find one of the NDP politicians from your area to help you out or to point you in the right direction

In my experience, they will work the hardest to "fight for you" when you're in a rough position like this.
If that's the same as EI, you should expect to see your $$ in 6-8 weeks from your application date, and you will receive back payments for that time. I know it's not help really but after you have the baby you will be eligible for UCCB and CTB (I think my abbreviations are right there!).. do you also get GST cheques?
I worked as much as I could when I was pregnant up until 37 weeks. My personal income is about $15K per year (made working at McDonald's!) and I receive $208 biweekly from EI, about $425/month from UCCB & CTB, $150 every 3 months from GST cheques, and Ontario also offers another thing that I've just applied for and I'm waiting for that comes out monthly I believe to help offset costs of childcare- BUT you can get it even if you're at home with the child.
It's impossible to find all the information on the internet I swear so you really need to find somebody in Nova Scotia in a similar situation to you that can tell you about what they get.
In Ontario (just so you can sort of see how it works, I don't know how much it is in Nova Scotia), "welfare" or Ontario Works as it's called is about $308/month for 1 parent and 1 child if you don't need $$ for rent; and if you do need rent money I think it's about $1000/month, there are subsidized housing opportunities (I know the openings aren't always there)... your wages count towards your eligibility for Ontario Works but none of your tax benefits do! You can even qualify for OW if you have a mortgage and one vehicle.
You can download the information for OW on the Ontario website; so I'm sure something similar is available there!
Have you joined all the formula websites' baby club things? They send out some awesome freebies..
Pampers sends you coupons every couple of months, I just got some for $4 off, $2 off, etc.
save.ca has good coupons,
Huggies coupons are everywhere.. I have TONS and I could send you some in the mail if it would help.
If you call Johnsons they will send you coupons also; I got a coupon for a free replacement product (bought a $8.99 thing of Desitin with it!) and I got 2 $1 off coupons.
Use coupons in combination with sales also!!