In steerage (3rd class), passengers did not have private cabins, but stayed in large, dormitory-like rooms on the ship. Women and children were lodged in separate quarters from men, whether the latter were married or single.
This Salomon Michalowicz on the ship was a tailor (Schneider) - was Solomon the husband of Riwke a tailor?
On the issue of where Gittel was born (Lodz or Warsaw) - I would check to see where her siblings said they were born. The naturalization papers for the brothers Joseph and Morris would have information about their birthplaces. Draft cards, especially WW II cards, often have birthplace information. For the sisters of Gittel, their husbands' naturalization papers may include information about their wives' birthplaces.
My experience looking at the birthplaces of my forebears is that persons who came to the US as small children or babies could be mixed up about where exactly they were born, since they had no memory of the old country. That's why checking out what older siblings had to say about their own birthplaces is important.
On the Yiddish name of sister Mildred - her Yiddish/Hebrew first name will be on her gravestone, so you'll need to get a photo of it. If you don't know which cemetery she is buried in, her death certificate would have that information. FamilySearch has NYC death certificates up to 1949 online.
Lak/Lok/Liak/Lock and Kalon/Kolon in Zagare/Joniskis/Gruzdziai, Lithuania
Lak/Lok/Liak/Lock in Plunge/Telsiai in Lithuania
Rabinowitz in Papile, Lithuania and Riga, Latvia
Trisinsky/Trushinsky/Sturisky and Leybman in Dotnuva, Lithuania
Olitsky in Alytus, Suwalki, Poland/Lithuania
Gutman/Goodman in Czestochowa, Poland
Lavine/Lev/Lew in Trenton, New Jersey and Lida/Vilna gub., Belarus