Geőcze was born on 27 December 1862 in the village of Bacskó in the Kingdom of Hungary, now part of Slovakia.
Geőcze was transferred to another girls' intermediate school in Komárom County in 1892 and remained there for five years.
Geőcze was fired in 1917 and started teaching again at the Pest Institute shortly afterwards until her retirement in 1926.
"Throughout the 1890s, Geőcze began to lay greater emphasis on the role of women's education as a means of advancing Hungary as a Christian nation.
By the turn of the century, she was seeking to protect women she thought morally and economically vulnerable—migrants, domestic servants, factory workers—through education and material assistance.