Louis is an English name which in German is Ludwig and in Hungarian is Lajos. It is the same family. The 1895 New Jersey State Census and the 1900 census name the second child as Katie, but in the 1910 census, she is Kazimiera.
Josef left Hamburg on the Weimar via Leith, Scotland bound for New York on 24 October 1890:
Waschkau, Josef, of Kenty, Galiz. (Galicia)
He changed ships in Glasgow, and arrived in New York on November 17, 1890 aboard the State of Georgia:
Waschkau, Joseph, aged 32, watchmaker