I have solved the mystery of the Lorentzens. In the Norge manifest Lavra Jensine Lorentzen says she is going to her father F. Lorentzen in Alden, Minnesota and Anna Kirstine Lorentzen says she is going to her brother F. Lorentzen in Alden. Here is the father/brother leaving Denmark.
Name: Lorentzen, Fr. Ferd. Occupation: Fisker
Age: 30 Destination: Alden, Minn.
Contract no.: 9000 Registration date: 2/22/1898
Birth place: ? Birth place: ?
Last res. parish: Keldby (Møn) Last res. county: Præstø
Last residence: Kjeldby, Præstø Destination country: USA
Destination city: Alden Destination state: Minnesota
Name of ship: Norge
Remarks: ANM: IDcode: D9701L1010
and now for the juicy part.
Frederik Ferdinand Lorentzen was born 20 Aug 1867 in Stege, Mønbo, Præstø, parents Christian Lorentzen and Bodil Sofie Pedersdatter, opslag 37 nr 16.
Anna Kirstine Lorentzen was born 22 Feb 1883 in Kelby, Mønbo, Præstø, parents Christian Lorentzen and Bodil Sofie Pedersdatter, opslag 105 nr 2.
Lavra Jensine Lorentzen was born 24 May 1885 in Kelby, Mønbo, Præstø, parents the unmarried Dorthea Kirstine Pedersen and the unmarried Frederik Ferdinand Lorentzen, opslag 109 nr 6.
Frederik Ferdinand Lorentzen married Dorthea Kirstine Jensen Nohr on 9 Sep 1887 in Stege, Mønbo, Præstø,
I suspect that the family was poor and possibly disfunctional. Frederik came to the US with his wife and 4 children and then sent for his sister and daughter.