Would there be more records held at the State Archive with more information?
Probably not, but it could be worth a try. Some pre-1906 records hold a wealth of information; including physical descriptions and birth dates.
1861 it says Dobrzetz (which is now Dobrzec) but then in 1874 a birth record for a son lists it as Breslau, which was also the name of the region Dobrzetz is in.
I'm not surprised. Dobrzetz was not only a small town, but also the name for a so-called "Gutsbezirk" (a rural district) that was part of the larger Regierungsbezirk Breslau.
Were your ancestors catholic? Then try to contact either the state archive in Wroclaw or the church that is now in charge of Dobrzec. If the church books survived the war, you should be able to find their marriage record and through that their birth records. If your ancestors were protestant, check the EZA in Berlin. Again: if the church books survived the war, you might be lucky to find the entries.
List of available church books: