mvayder1

following up on what Eileen posted.

Vajda, Mary, Wife, born April 1873, aged 27, married, 8 years, 3 children born, 2 children living, born Hungary, immigrated 1896
Vajda, Andrew, Son, born February 1893, aged 7, born Hungary, immigrated 1896

arriving NY Ellis Island:
Vajda, Maria 23 1873 1896
Vajda, Andras 2 1894 1896
Unfortunately, these early arrival manifest does not provide a place of birth or last residence.
Since Andras [Andrew] VAJDA was born in "Hungary" than you might want to check to see if he was naturalized citizen. His SS-5Form should have his place of birth
Since there was another child born in US than the church he was baptised in should have his parents place of birth.
http://www.radixforum.com/surnames/vajda/
http://www.radixindex.com/en/surname_index/surname/vajda