Hello Barbara,
in order to determine which archive has Eppelsheim church registers in their holdings...
- go to this website here at Archion
https://www.archion.de/de/archive-in-archion/rheinland-pfalz/landesarchiv-speyer/
- click on the "Link zum Kirchenbuchverzeichnis" [link to church register directory]
- now you are on the website of the Landesarchiv Speyer [State Archive Speyer]
www.landeshauptarchiv.de
- on the right is a box labeled "Download" and when you click on the link in that box, a PDF file providing a copy of this church register directory/index will be downloaded
- now you can easily search this file for: Eppelsheim ---- you'll get 8 matches
The most important information for you will most likely be to learn that the church registers for Eppelsheim can the found in the holdings of
Zentralarchiv der Evangelischen Kirche
in Hessen und Nassau, Darmstadt
Contact data for the Darmstadt Archive can again be found here at Archion
www.archion.de
Since Archion can only make such church registers online available which have been previously been digitized and delivered to Archion by an Archive, you need to contact the Darmstadt Archive and ask them if and when this may happen.
Good luck and greetings, Vera