Sappho
Sappho might have had a daughter called Kleïs (the same as her mother).  Two of Sappho's poems talk about her.  Not all historians agree that the Kleïs in Sappho's poems was Sappho's daughter.  Some have suggested that she was Sappho's lover instead.  But ancient sources call Kleïs Sappho's daughter, and some modern historians have argued that she must have been Sappho's daughter, not her lover.  Sappho's husband, the father of Kleïs, was said to be a rich trader named Kerkylas of Andros.  If Sappho was married, however, this was definitely not her husband's name: it is a joke from a comedy about Sappho's life.