The Franklin one is genuine, although many people have quoted him over the years and then been given credit for the quote, much like Lincoln gets the credit for, “A house divided against itself cannot stand.”
As for the G.W. quote, what is your source for it being bogus? I’m happy to correct myself, but I’ve seen it in many different sources.
The quote as you posted it has been edited to remove the anachronisms, but as you can see there were some howlers in the original.