On simple priority Rafinesque (1815) is the earliest to use a name close enough to Lumbricidae. On his page 135 is ... [details]
Often referred to L. Agassiz, 1840a (e.g. by Mortensen, 1850), but first used at ordinal level by Claus (1876) [details]
emend. Durham & Melville, 1957, p. 276 (pro Spatangidea Claus, 1876, p. 295) [details]