RootsChat.Com

https://en.geneanet.org/fonds/individus/?exact_day=&exact_month=&exact_year=&ignore_each_patronyme=&ignore_each_prenom=&size=10&type_periode=between&sexe=&nom=Skowronnek+&ignore_each_patronyme=&prenom=&prenom_operateur=or&ignore_each_prenom=&place__0__=&zonegeo__0__=&country__0__=&region__0__=&subregion__0__=&place__1__=&zonegeo__1__=&country__1__=&region__1__=&subregion__1__=&place__2__=&zonegeo__2__=&country__2__=&region__2__=&subregion__2__=&place__3__=&zonegeo__3__=&country__3__=&region__3__=&subregion__3__=&place__4__=&zonegeo__4__=&country__4__=&region__4__=&subregion__4__=&type_periode=between&from=&to=&exact_month=&exact_day=&exact_year=&go=1

Not having much luck on this one, but Albert/Adalbert gives birthplace as Prussia on one English census, which would have included Rheinland.
 There do not seem to be any naturalization papers for either son in the National archives. Hennweiler records are not digitised on Archion yet. The ones on familysearch are too early and only available to view at their centres.

 I also found no mention in the online German newspaper archives at


https://www.deutsche-digitale-bibliothek.de/newspaper?lang=en


Interestingly,  using the more usual spelling of Skowronek, looking at a surname distribution map of Germany there is a large group in the western state of Nordrhein-Westfalen, although the surname is of Polish origin.

https://www.kartezumnamen.eu/en/index.php?sur=SKOWRONEK&s=Search

Looking at a distribution map for Poland it is concentrated in the Voivodeships of Silesia (śląskie ) and to a lesser extent in Lower Poland(małopolskie)and Opole(opolskie).

https://www.mapanazwisk.eu/en/index.php?sur=SKOWRONEK&s=Search

Using Gedbas, the majority of entries are from Ost Prussia/ Poland/Silesia

https://meta.genealogy.net/search