Tara

Have you located a document which does say that your ancestor was born in Budapest? The LDS-Mormons have filmed the church records but you would need to know in which district of Budapest to order the correct one. Did you locate her manifest?
www.surnamenavigator.org
Hungary's phone book: www.magyartelekom.hu/fooldal.vm
www.radixforum.com
www.progenealogists.com/hungary