Alberdina did go to the USA!
I found their crossing:
Ship Castor, dep. Amsterdam, arr EI 16 Oct 1882
Hordenberg, Albertus, 5 yrs (Albertus, born 1874)
Hordenberg, Arend, 16 (Arnoldus Frederikus, 1866)
Hordenberg, Dina, 8 (Alberdina, 1872)
Hordenberg, Friederik, 4 (Frederik Arnoldus, 1876)
Hordenberg, H, 54 (dad Hendrikus, 1830)
Hordenberg, T, 50 (mom Berendina, 1833)
Of course the ages are all wrong, but I only rarely saw an EI record where the ages were actually right!
That leaves the crossing of Hendrikus 1859 and Hendrika Alida, married to Leonardus Johannes Rientjes. And we all know they ended up in te USA as well