You need to be aware that the area of Nierstein and Oppenheim - Rheinhessen - was under French rule around that time. Due to the Code Civil, personal events were documented in civil registers and no longer in church registers, or dually if you're lucky. The change happened around the turn of the century. So you will most likely have to look for civil records.
Those should be available either in the register office of the town where she lived, e. g. Nierstein or Oppenheim (today "Verbandsgemeinde Rhein-Selz"), and/or in the archive in Koblenz ("Personenstandsarchiv" within "Landeshauptarchiv Koblenz"). If you can narrow down place and time and point them in the right direction, they will go and search for the documents, for a moderate fee. They definitely have all the necessary books on their shelves.
Do try their Apertus online search facility. Go to "ERWEITERTE SUCHE", make sure to check "Personenstandsregister", enter start and end year in "Zeitraum eingrenzen", then click "Suche starten". Three potential items of interest, all "Personenstandsarchiv Rheinland-Pfalz", "Bestand 657,199 Mairie und Gemeinde Nierstein":
- Nr. 1 Geburtsregister 1802-1821
- Nr. 39 Heiratsregister 1802-1839
- Nr. 166 Belege zu den Heiratsregistern 1821-1832
J
PS: Sometimes the name is spelled Ebling. And back to church registers, another source (though not an online source) besides Archion is the Zentralarchiv der Evangelischen Kirche in Hessen und Nassau (EKHN).
