His parentage is confirmed by Theophanes Continuatus which names "Potus ac Leo" as the children of "Eustathium cognomento Argyrum", recording that they transferred their father's body to "monasterio S Elisabet…in Charsiani themate" which had been founded by "Leone tribuno illorum avo". However, Cedrenus names "Eustathium magistrum drungarium" and "avus eius Leo…primus Argyrorum", adding that the latter founded the monastery of St Elisabeth, which indicates a missing generation in the account recorded by Theophanes Continuatus. It is not possible to decide conclusively which version may be correct as the birth date range estimated for Eustathios, consistent with the birth date ranges estimated for his descendants, could be consistent with either version. However, Eustathios naming his older son Leon is consistent with his father bearing the same name, in line with the Byzantine convention of naming the eldest son after the paternal grandfather. For this reason it has been decided in this document to omit the possible additional generation in this family.
Strategos of the theme of Charsianon [907]. Theophanes Continuatus records that Emperor Leo VI deprived "Eustathium cognomento Argyrum" of his position of "excubiarum drungarii" and sent him back "ad Charsianum", but that he was poisoned on the journey, died "ad Aran" and was buried "in Spunino, quod ipsius Aran vertex est".
The name of Eustathios’s wife is not known. 1