Howard.
GID 2611.1.28800:
Oäkta Son [Illegitimate son] Carl Fredrik, b. 1866-09-24, in Ed, Stockholms Län.
Dotter (före äktenskapet) [before marriage] Anna Charlotta, b.1867-05-12 in Ed.
In the SCB extract from the birth record of Ed parish ( GID 100001.12.13500 ) you will only find one Carl Fredrik born in 1866 (March 24, not September). The name of the mother does not fit either. The name of the father is not indicated.
The corresponding birth record extract for Anna Charlotta ( GID 100001.14.14500 ) is rather difficult to read, but the name of the mother is Mathilda Charlotta Hellström.
The notes next to the moving record for the parents are a bit difficult. I read it as: Oförh. Nattv. Välfr. [=Oförhindrad att ta nattvard. Välfrejdad. = Can be admitted to Communion. Irreproachable.) These are standard expressions, used in moving certificates.
GID 2530.3.6400 and 2530.4.23900:
Johan Fredrik Johansson's occupation is Abetare [=worker]. He is absent each year from 1874 and on. There is a note: Betyg [certificate] till Stockholm 19/9 1873. and: Vistas [located] i Amerika. In 1883 he is tranferred to page 283 ( GID 2530.4.33400 ) which lists obefintliga personer [non-existent people]. I am unable to interpret the note, probably Skfi, which appears both for him and his wife.
About the earlier history of this family:
1867 - 69 they live at Iliansboda, Ed ( GID 2418.21.23300 ), after having married on 1867-10-03, also in Ed ( GID 100001.14.42000 ). They have both earlier been at Värdshuset, Ed, Mathilda with her two children ( GID 2418.20.1400 ).
The son Carl Fredrik is a bit of a mystery. He is with Mathilda at Värdshuset and is listed as Hustruns oäkta [The wife's illegitimate] when the family is in Gotland. Neither date of Birth, nor the name of the mother fits the only Carl Fredrik born in Ed in 1866. It appears, that Mathilda also has an older son Frans Theodor, born in July 1865.
I hope this is of some value to your research.
Per Thorsell.