Pardon the delay in reply, but it takes me a while to get get online since I don't personally have an internet connection where I live since it is not available.
jtsdawghause is my sister. JT was the nickname my dad Wayne (son of John F.) gave her. She's the one who's done most of the legwork in our family tree along with our aunt (our dad's sister in law).
Grandma Zeke (Villa Day) died quite some time ago & Grandpa Day (John F.) died the same year I was born. There is no one alive in their family anymore except our aunt & two cousins, then us- my mom, two sisters, a brother & me- as well as grandchildren and grandchildren now- but the original family has pretty much passed away.
Most of the Johnsons, whom I never knew too well, have also passed away. I knew my aunt Faye, uncles Carry & Gail (listed as George Gal per your info)- but they were old when I was little and have since long passed as well.
I never knew any Days at all except for those whom I previously mentioned- Grandma Zeke (Villa) her two sons (my dad & uncle) and my own immediate family & my uncles two kids.
We were not a tight family that had family reunions & so on. I am aware that the Johnsons & Days still live primarily now in the Woodward area since they are aged & that is the largest town for them to reside in with the medical infrastructure they need. Our mom goes up there for Shuyler family reunions & sometimes visits the Buffalo, Laverne, Kibby, Ft. Supply & Alva areas with our aunt (our dad's sister in law- a Shirm) but that's really it.
Joseph Kai (or Kia) Day & Clara were John F's parents & George Johnson & Margaret Parsons were Villa K's parents, which is info we've always known since we've received that first hand from Grandma Zeke (Villa) herself- but since the family was not close, we know little else of their origins. Research on my sister's part (jtsdawghaus) has taken the Day family to the places I pointed to in the original post, but we know little else of them & virtually nothing of the Johnsons.
As far as other families from the O.P. Shuylers, Taylors, Thomas, Trotter, Romo, etc. we know even less other than the Shuylers oldest relative thus far uncovered is a Gustavus Adolphus of Sweden, possibly the former King, but unclear on that speculation. We know they produced the Revolutionary War General Shuyler as well as Amish & Mennonite families concentrated in the Pennsylvania area, and that anyone who spells the name Shuyler in that exact way is a direct relative, while others who vary the spelling are also related but indirectly- but our knowledge ends there.