1837 Ontario Canada Directory
Asahel Scott Con. 8 Lot 18, Pickering
James Scott Con. 5 Lot 2r Pickering
William Scott Con. 9 Lot 18 Pickering

There is some interesting history on the Scott family posted here:
http://pmvf.ca/ScottRebellionBox.html

According to the above, it appears that Ashael Hawley Scott and Lydia were on the 1851/2 Ontario Canada Census for Northumberland County:
(transciption only)
1852 / Canada West / Northumberland (county) / 225 Cramahe township / p. 7d, 8a, (15)
21 Scott, Ashel Labourer United States Wesleyan Methodist 75 M
22 Scott, Jemima United States Wesleyan Methodist 40 F
23 Scott, Lydia United States Wesleyan Methodist 75 F