This article presents new arguments in support of an attribution to Sappho of a series of fragments in Alcaic stanzas (frr. 137 and 168C V.) and formulates a hypothesis about which book of the Alexandrian edition might have contained them. Moreover, it discusses other fragments, by both Sappho and Alcaeus: Sapph. fr. 138 V.; Alc. fr. 384 V. and inc. auct. fr. 23 V.