Citizenship by descent

Hello there. I am an American citizen that has just traced my genealogy on my mother’s side back to the Austrian Hungarian empire.

My great grandmother was born in Oberdrosen, Austria in the year 1888. Back, then the town was considered to be part of the kingdom of Hungary.

In 1905 she immigrated to the United States and married a few years later.(my grandfather was from Austria, but from what town I am not sure.)She gave birth to my grandmother and great aunts between 1912 and 1918 I believe.

About 1930 for my great grandfather passed away. In 1936 my great grandmother petition for naturalization as a US citizen. In 1939 she was naturalized. She passed away in 1974.

Based upon the facts presented, would I be eligible for Hungarian citizenship by descent?

Thank you for your help