The question was: As this is a remarriage, is the bride's name in the index her name at birth or her first husband's name?
The answer: We don't know unless we look at the record. (The record is on microfilm in Trenton, so we aren't going to see it from our computers at home.)
I looked at some marriage returns in my possession to compare to the online index. From Jersey City in 1886, I have the marriage return for the second marriage of bride, Anna, to James Livingstone Miller. She was the daughter of Louman Heiser (Hyser) and Catherine Eckler. She first married William H Cummings in 1877 in Catskill, Greene County, New York.
|Marriage Return, 1886, Jersey City, New Jersey|
James Livingstone Miller, son of Christopher Miller and Agnes M Barton
Anna Bell Hyser, daughter of Luman Hyser and Catherine Eckler
Next I turned to the index at FamilySearch to see which name appears.
|James Livingstone Miller in the 1887-1888 Jersey City (Hudson County, New Jersey) directory|
By 1900, Anna Hyser had married again, this time to Nicholas Brower. My grandmother told me she married four times. Still looking for another husband.