I could not find Anton or Appolonia at a paid .com subscription site: however, after typing Hungarian Jews Holocaust at an internet site (I use Mozilla Firefox, but think you can find the same thing at Internet Explorer), there was a long article - several as a matter of fact - noting that Yad Vashem's Central Database of Shoah victims has close to 3 million names, all accessible online. I'd hazard a guess that the Holocaust Museum in Washington, D.C., might have the information you want.
When the Hungarians and Germans began transporting Hungary's Jews to Auschwitz in 1944, Anton would have been 88. Age, though, didn't seem to matter. Babies were murdered just as indiscriminately as adults.
I will see if I can find information on Anton and Appolonia's children.