George, I'm not going to make Woodstock. My bad. My passport expired, my bad. I do have 1 on those enhance drivers license. The one with a gold star. I was told/read as good as a passport-not. I'm not sure now what it's really good for? Cost extra 80 dollars for what? Oh 8 to 13 weeks for new passport. I'm working on that.
I'm no EDL expert, but it looks like you might be able to use that to cross into Quebec, then hop over to NB. (according to the 2nd link)
However you're correct some of the documentation says it's OK for all provinces, as long as it's not by travel by air.
It looks like any US border will accept it when you are coming back in lieu of a passport, but only certain Canadian provinces recognize them (Quebec, Ontario, Manitoba and British Columbia) when you are coming over.
If in doubt you could always inquire to CBSA as to if they are acceptable at the Woodstock NB crossing.
Enhanced Driver’s Licence (EDL) and Enhanced Identification Card (EIC) Programs - Canada.ca
Enhanced Driver’s Licence (EDL) and Enhanced Identification Card (EIC) Programs
You may also be OK with the EDL or a passport card vs a full passport, if you are not traveling by air.
Snippit below from https://assembly.state.ny.us/member_files/085/20090706/
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Planning a trip?
If you are planning to travel to Canada, Mexico, Bermuda or the Caribbean, an enhanced driver license (EDL) or an enhanced non-driver photo ID card (ENDID) is an acceptable form of identification to enter the U.S. by land or sea.
The U.S. passport card is another option for land and sea border travel. The wallet-sized passport card is convenient and less expensive than the passport book, and costs $45 for a first-time adult applicant. A new U.S. passport book can cost more than $100.
These are all convenient alternatives, but the U.S. passport card, EDL and ENDID
will not take the place of a passport book for international travel by air.
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Obviously, you need to double check these in advance before just showing up at the border. The internet isn't always accurate.