Could it be "Babice", rather than "Babie"? There are several possibilities for "Babice" in Poland and the Czech Republic.
I found an online copy of the passenger list from the Kaiserin Auguste Victoria's arrival in New York in May 1909. Leonora's record is shown here:
The handwriting isn't the best that I've ever seen!
However, it does include an address in Syracuse, which may help you find her in the 1910 US census or New York naturalisation records. I doubt the census will have the town in Poland, but a naturalisation document might.
The entry also has the name of a friend / relative in Poland which might help you with your search.
I also did a quick search on FamilySearch and found Leonora listed in the 1920 and 1930 censuses, but I'm guessing you already have those records.