I'm trying to read this name, that I have written twice in this image (underlined in red):
My current working theory is Maria Kennet.
This is a marriage record from the Austrian Empire and is recorded in German by the local Catholic church parish.
I am sure the last name is Kurent.
I have looked for this name in My Heritage and have found out, that "Kurent" is a Slovenian or Croatian name. There I have found a lot of people with this name.
I'm pretty sure it reads "Kurret".