From the 1880 census record posted earlier, we know that Jacob Treffeisen, father of your Albert, was born about 1844-5 in Germany. Although we can't be certain that he was born in Bickensohl, chances are that he was as this village appears to be the ancestral hometown and the only place that I have located individuals with this name (other than those who had moved away). Years ago I photocopied the early Treffeisen baptism, marriage, and death records from Bickensohl. In these records, I find only one Jacob born in 1844-5. He was Johann Jacob Treffeisen, bapt. 11 Jan 1845, son of Johann Jakob Treffeisen and Anna Maria Christen, who were married 7 Jan 1837. Other children born to this couple were Maria Magdalena, Anna Barbara, Anna Maria, Johan Georg, Christian, and Ursula. Anna Maria Christen, b. 29 Jun 1814 in Koenigschaffhausen, d. 9 Jan 1873, was the daughter of Johan Georg Christen and Anna Maria M[can't read]. The father, Johann Jakob Treffeisen was the son of Johannes Treffeisen, b. 13 Mar 1761, d. 12 Jun 1834 and his second wife Maria Magdalena Reber, m. 3 Jan 1804. She was b. 20 Aug 1776, d. 19 Jun 1826. Johannes Treffeisen was the son of Johann Georg Treffeisen, b. 10 Oct 1727, d. 26 Sep 1786 and Anna Maria Fisher, b. ca. 21 Apr 1723, d. 21 Nov 1806. Johann Georg Treffeisen was possibly the son of Mathias Treffeisen who married Anna Maria Rietstadlin of Bahlingen. I am descended from Johann Georg Treffeisen, the elder brother of your Johannes, b. 1761.
One other item of interest is that the Johann Jacob Treffeisen, b. 1845, that I suspect is your ancestor is listed in a compilation of Bickensohl families, but his death date is listed with a question mark, indicating that at some point he disappeared from the Bickensohl records, adding a likelihood that he emigrated elsewhere. The book I mention is - Meerwein, Helmuth, Die Stammbäume der Familien der Gemeinde Bickensohl am Kaiserstuhl (Karlsruhe: H. Meerwein, 1936).