Utah and Delaware: these are the only two states, form what I could tell, that have symbols related to astronomy.
Dubhe is the state star of Utah, designated in 1996 during Utah's centennial year. The distance to Dubhe in 1996 must have been thought to be 100 light years. Slightly more modern estimates place Dubhe at a distance around 123 light years, meaning that the light shed from Dubhe in 1896 may actually just now be reaching us. Time to party Utah, like it's 1896.
The Beehive Cluster also holds a special significance for Utah as well, being a beehive and all.
But the strangest star designation goes to Delaware, selecting in 2000 a 12th magnitude star in Ursa Major as its state star. There are so many stars Delaware. Did you even bother to go outside and look at the sky? The coordinates of this dimmest of dim bulbs are 9h 40m 44s and 48deg14'2". If Principal Skinner had pointed his telescope here, he would have said "No sighting".
What would you choose as your state or Provincial star?
Ontario: Perhaps Achird (eta Cas), a double star with a whitish primary and reddish secondary, just like the Trillium, Ontario's official wildflower, that comes in white and red.