Hello,
You have slightly misinterpreted the information on the passenger lists.
Max Ludwig Israel Levy is listed as the passenger on the manifest (see image
http://www.rootschat.com/links/01qoc/)
Irene Sara Levy of Isetrasse 83, Hamburg was not a passenger, she was recorded as his "nearest relative in country from whence alien came" (see image
https://www.rootschat.com/links/01qod/)
Irene remained in Hamburg, presumably not wishing to abandon her aged, widowed mother.
Paul Israel was the uncle of Max Ludwig Levy, and it was his widowed sister, Anna wife of Leopold Elieser Wurst, who was living at Isestrasse 19, Hamburg.
See here also
https://www.rootschat.com/links/01qoe/Here is also a link to the original deportation list
http://www.statistik-des-holocaust.de/OT411025-23.jpg. Irene is number 545; her mother is on the following page.
Coincidentally, my surname is Levy, and my Levy ancestors moved to Hamburg in 1868.
A further sad and gruesome coincidence is that Anna Wurst was deported to Riga (Jungfernhof) on 6 Dec 1941 on the same train as one of my grandfather's cousins. If she didn't succumb to the cold and appalling conditions in the camp, then she was probably murdered (as were my relatives) in the so-called Bikernieki Forest Massacre on 26 Mar 1942.
Take care, Justin