I wish you would send that pillow

I believe Alphonse was Alphonse Linnemann of Duluth, and Lylian (or Lillian) was his niece. Lylian's mother was Lena M. Koop (nee Linnemann).

Also interesting to note this postcard was sent nine days after the particular disaster noted in the photo, and Lillian got married in Hennepin County just a month or so later. 

Certificate Number 01170449
Date of Marriage 09/21/1906
Applicant 1  WILLIAM P EWING
Applicant 2 Bride LILLIAN KOOP

Lillian did not live a long life.

Also, Lillian's daughter died young in a very well-recorded car accident.