Are you able to get to the Nova Scotia Archives in Halifax?
I'm looking at the Mayflower 5th Generation information for Asahel Dodge and Anna Walker, your Asahel's parents. This resource does not go to the 6th or 7th generation, but they do provide the sources.
It appears you are looking for the Granville, Nova Scotia Township records: which are available on microfilm in the Archives in Halifax. They have not yet been digitized, but on my last visit to Halifax, I found they were well-indexed, and it was easy to take a digital copy of what I needed onto a USB key.
Hope this helps,