dklart is correct. Note every census for Anthony, starting with 1940, and work your way back to Joseph. Check any marriages on Ancestry.com, FamilySearch.org, etc. You'll have to search all records (B-M-D) for Joseph and Augusta and their children, and reconcile inconsistencies. For instance, many censuses list Joseph's year of birth as 1855, but the marriage record that dklart found says 1869. That is a big difference! Also, the 1900 shows Joseph & his wife married for 7 years, which matches what dklart found. It's almost impossible to read the name of Joseph's wife, as the handwriting is faint. Gussie? would match with Augusta. But if so, then is Augusta the mother of Anthony? He is 17 in 1900 (b. about 1883), which would at least suggest that Joseph was married before. Census records state that Joseph immigrated in 1881. Is that the actual year, or just an estimation? Was he alone, or did he bring a wife & family? When did he naturalize? If it was after 1906, chances are good of finding his place of origin, date of immigration, and the name of the ship.