I have Barriger's in my line, my GGGG Grand father was John Bargo/Barger/Barriger (depending on who wrote it), wife Anna from PA, but settled in Shelby Co., KY.
I haven't been able to go beyond John and Anna Barriger either.
They had about 10 sons and 1 daughter.
I always entertained the idea that your Josiah was one of John and Anna's sons.
I wondered if you have found any more information since this posting?