So Margaret Kramer (aka Margaretha Kremer) really was born on 31 October 1866 in Consdorf, Echternach, Luxembourg.  Seventy-eight years after her birth, her son reported the correct birth date for her death certificate.  The other information he provided was also correct, as far as what Margaret herself provided for her marriage license in 1888.  Her birth date, place, and father have now been confirmed by a birth record I just located on FamilySearch (Luxembourg Civil Registration, 1793-1923 > Consdorf > Baptêmes 1790-1793 — CONSDORF: Naissances 1798-1880).

Below are two images.  The first one is the a page from the index for the year 1866, which lists Margaretha Kremer with a birth date of 31 October.  The second image is the actual record, which indicates her father’s name of Johann.  The problem is, I have no idea what the rest of this record says…can anyone translate the record?

The original image can be viewed and enlarged here.

Would love some help on this.  I must admit, it’s my first successful “across the pond” search (hey, one out of five ain’t bad)!  Now if I only could figure out if Peter Kremer, who witnessed Margaret’s marriage, is somehow related…