Hi Bob!
The Cronkhite family I am researching did come from new York. During the Revolutionary War they were loyalists and were relocated to Fredericksburg, Ontario. What is somewhat confusing is I believe there is more than one part of the family that went to Canada, and they all used the same bible names, Jacob, Abraham, etc. The family I am researching for is Jacob, born 1796 in Fredericksburg. I believe his father was Abraham. Abraham would have been a child during the war. I believe Abraham was born in New York, and his father was a loyalist. I just haven't gotten the documents to make the links. There was more than one Abraham in New York at that time.
If I come across any Cronkhites in Oakville I will let you know. By the way, one thing I have discovered in these old records in Canada is the names Cronkhite/Cronkwright/Cronkright/Cronkrite/Cronk are all used interchangeably so keep an eye out for the various spellings. I suggest checking church records. Also some towns have local records. I visited Hungerford Twp. and they had census, land, directories and other records. Try checking Ontario Gen Web also.
Good luck!
Carolyn