Are you certain you have the date right or that he wasn't referring to earlier ancestors? I've not heard of any other Shibley's than those who descended from Johannes Shibley (1717 - 1790), who immigrated from Switzerland in the late 1700's. Johannes actually landed twice, some years apart, and both times he simplified / anglicized his name a bit more - Scheibli to Shibbley to Shibley. Johannes Shibley was born Johannes Scheibli (pronounced shee-blee), son of Uli Scheibli, in Switzerland. They would have been Germanic Swiss (as opposed to French or Italian), which might have confused the original census takers.
The family seems to have been very attached to several names and used them over and over, making the tree a bit difficult to develop. Johannes's sons Jacob and John moved to Canada as United Empire Loyalists, one to the Sault St. Marie area and the other in the Kingston area. Jacob is, I believe, the oldest son, and is the ancestor of my line, in the Harrowsmith area north of Kingston, Ontario. The line named their first born sons John, Jacob and Charles alternately for a bit. We also have a Jacob/Catharine couple, but older than yours I think. Jacob's eldest son, John, had Jacob (1778 - 1877) who married Catherine Daly (1786 - 1837). I have more specific information if you wish it.
Incidentally, you will find that Shibley is also a transliterated Lebanese name. Meaning that the sound of the name initially in Arabic characters, when spelled in our Roman letters, became a name that already existed. As far as I can tell, none of us related by blood, but that may only be a matter of time. Lebanese Shibleys began to settle in Canada in the mid- to late 1900's. I'm told there is a particular village in the south of Lebanon where the name is very common.