Sorry I didn't reply sooner, but I missed this message somehow.
Yep, you're right about the ancestry of your John Arner. I have your family on my website: http://www.kinfolks.info/arner/a1330000.htmhttp://www.kinfolks.info/arner/a1330000.htm although I show them as "Eyster" instead of "Oyster".
I don't have a lot of info on that family, but I do have a Freeman family there (which I'm guessing might be your family).
If you can add any new info, that would be greatly appreciated.