A manuscript is not always reliable in particular with regards to children who died at a young age. And you are not right about the statement "Together they had ONE child". They had at least two 1) Christian Albrecht C. and 2) Elise Margrethe Cold Aug 22 1794 (died 1866). This is also supported by the Danish Census 1801 (Copenhagen). The household: Christian Magd. Thestrup Cold 47 Gift Etatsraad
Elisa Fabricius 28 Gift g C.M.T.Cold
Adolph Peter [Cold] 19 Ugift Stud. (1st marriage)
Friderica Marie [Cold] 15 Ugift (1st marriage)
Christian Albrecht [Cold] 9 Ugift (2d marriage)
Elisa Margrethe [Cold] 7 Ugift (2d marriage)
Henriette Amalie is not there - she may have died between 1796 and the Census (February 1 1801), and the couple could easily have had even more children considering the high child mortality .. I will remove her if a more thorough examination indicates that you are right
Take a look at this churchbook link https://www.sa.dk/ao-soegesider/da/billedviser?epid=17119863#158937...
May be you too fact refractory to take a lesson. Relying on secondary sources (books, charts) is dangerous and shows an uncritical approach to genealogy. "Elise Margrethe Cold" is certainly not a phantom profile.
Vor Frue (Our Lady) churchbook: 19 September 1794: Hr. Professor Juris Christian Magdalus Testrup Cold og Frue Marie Elisabeth Fabricius. Elisa Magrethe født 22. August....
Church records are primary sources, created by the authorities in direct connection to a childs birth or babtism. It would be a serious crime not to do this correctly, and the priest does this in his office as civil servant.
A book is certainly not as valid as a source. We do need basic knowledge in our discussions. It gets very troublesome to handle the work together at Geni under these circumstances.
And to conclude the link to Hendriette (Henriette) Amalie:
https://www.sa.dk/ao-soegesider/da/billedviser?epid=17119863#158937...
I know that her name is not "Elisa Fabricius" - the Census does often not include all given names - she was probably called Elisa. The Census was only shown to demonstrate that Elisa Margrethe was part of the household. The discussion was not a complete waste of time, since I was the first to find the correct churchbook - neither the old registry of Lengnick, FamilySearch or the profiles on MyHeritage had these data. It helped me a lot to know that Christian Magdalus Thestrup was Professor Juris at that time and probably would use the old church in the "Latin Quarter".
Well, the thing to do for you is to go in to the church book of Frue, Copenhagen and produce a screen dump which shows who else ger parents would be. A family like Bartholin Eichel is very prestigious and can mot afford to be sloppy with their ancestry, so it will surely be sensational if you can show proof of your thesis.
Beat of luck
E
That you say "My manuscript is more reliable than your mysterious and unsubstantiated "church records."" is nonsense - due to a written manuscript about families usually is not reorganized as primary sources in the Nordic countries. If there are any "scientific" evidences behind Jorgen Cold's probably fine manuscript, they have to come from the church records and/or census records.
The primary sources will nearly always be the church records and census records. While the various census records may not always be all complete, it is rarely seen that the church records are wrong, and if something is missing or wrong, it is normally easy to spot - due to a person usually figures several times - at baptism, confirmation, sometimes marriage(s) and divorce(s), as well as funeral, and all these are recorded using certificates/documents stating the event and referring to the church records.
That church records is a primary sources is fundamental knowledge at any secondary schools (high schools) in the Nordic countries, and it is the basic knowledge at any of Nordic universities offering history as bachelor degree study (typical it is taught in-deep at the courses Historical Methodology and Historical Theory on first year).
https://wiki.dis-danmark.dk/index.php/Kilde
https://www.familysearch.org/wiki/en/Denmark_Genealogy