Theresa
You follow your ancestors paper trail. You go to the location that is listed on the arrival manifest.
Iha, Veronika Komouna 18 1883 1901 For sure, I could not make out the proper spelling of either name of the person she was going to.
Iha, Rosa 34 1872 1906 [Going to husband Laszlo FHA/JHA/ IHA [sp?]
Being that the manifests were written at the port of departure from a document that our ancestors presented to the shipping clerk I would go with that spelling of your surname IHA.
IHA is the spelling for Veronika, Rosa and the children.