Prior to 1880 (when the Federal Reporter began publication) there were 233 different sets of federal reports.
Those that the Law Library owns have the call number LEVEL 2.
To find these reports in the catalog, do a Local Call Number search for “Level 2” and limit by author or word in the title.
The Federal Cases (SMITH KF110 .F43 1995r) compiles reprints of all cases from 1789 to 1880. The cases are arranged by title in alphabetical order. Each case is given a number--a correct citation is to both the page number and the case number, e.g. The Ocean Belle, 18 F. Cas. 524 (No. 10, 402) D.C.S.C.N.Y. 1872).