Dear Ellen,

Do you mean Elkton, MD in Cecil County?  

In Maryland, marriage records are held by the clerk for the county's circuit court.  Information for Cecil County is at https://mdcourts.gov/clerks/cecil/marriage. 

Elkton was known as an East Coast "Graetna Green" for eloping couples because it has been well connected by roads since Colonial times, is the Cecil County seat and is where MD, PA and DE meet, making it also convenient to NJ.

Regards,

Megan, native Marylander