I am 99% sure that the attached birth record #161 is that of daughter Mallie from the ship manifest. This is the September 2, 1887 birth of Malke to father Feinwel LEITNER and mother Chany WALDHORN. This records also identifies Chany's parents as Judel and Malke WALDHORN from Wolosow, a small town near Nadworna, where this birth registration took place. Nadworna was in the Stanislawow region of Galicia in 1887.
Feinwel and Chany had two more children who both died in infancy -- Nechume (1889-1890) and Mayer (1893-1894).
Feinwel and Chany were not married in a civil marriage which would have been registered, but they must have been married in a religious ceremony. Since Chany immigrated without a husband, you might assume that the husband died, but I find no death record for Feinwel LEITNER.
Parents Judel and Malke surely could correspond to Julius and Molly. Not sure about Pauline. My father was born in Galicia. He was Judel at birth. His Hebrew name was Yehuda. And he was known in America as Julius or Jules.
There are other WALDHORN records from Nadworna and Stanislawow. Please look again at JRI-Poland. One of those records is the following:
Nadworna PSA AGAD Births 1866-1912 Deaths 1868-1911
Last Updated April 2014
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(records in Fond 300 AGAD Archive)
Located at 48°38’ 24°35’
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||WALDHORN / KÖNIG
Wolosów / Nazawizów
This record connects the WALDHORN and KONIG surnames through Chany's parents Juda and Malke. Zipra was Chany's sister. My take from this record is that Malke's maiden name was KONIG.
I think you now have more to search for.
JRI-Poland Stanislawow Area Research Coordinator