In the Old Carlisle Graveyard lies Ademna Hamilton, who died when she was 14 months all. I couldn’t find a meaning or even any other women with the same name.
In Markillie and St. Mary Cemeteries, you can find the grave of Elzina. Elzina may be a variant of the Arabic name Alzena or of the name Elizabeth, and seems to be most common in the United States for women born in the 19th century.
Permelia is another 19th century name that is no longer seen much anymore.