This group is from Jegenstorf, Switzerland.Just found this week!
Joseph Eberhard's emigration document (previously known) dated May 1727 appears in Pennsylvania German Pioneers book by Strassburger and Hinke.It says Joseph was from Jeagersdorf, Switzerland.
However, no Jeagersdorf exists in Switzerland.It should have been transcribed to print as Jegenstorf.
Jegenstorf is located just east of Bern in the Canton of Bern.Old Swiss Reformed Church there is 500 years old today!
I e-mailed the pastor and he said the Eberhards are an old family in the village with several Eberhards and Aeberhards still there.In the old days an Eberhard was an Elder in the church. Church records are now archived in Bern and likely on film with LDS.