Commentary
Langston shows her as the daughter of Andronicus Comnenos I, Emperor of Byzantium and Theodora Comnena. Charles Cawley states "Eirene and her husband Isaakios are named as parents of Empress Maria in the necrology of Speyer Cathedral ("18 Nov"). However, there remains some doubt about whether Eirene can have been the name of Isaakios's wife as Empress Maria's original baptismal name is also recorded as Eirene, the Byzantine naming practice not normally being to name children after their parents. Her connection with the Tornikes family is suggested by a document at Patmos which names Konstantinos Tornikes as uncle ("?e???") of Emperor Alexios IV, dated to 1203. This appears clear, but presumably it cannot be excluded that Konstantinos was the husband either of Emperor Alexios IV's maternal uncle or of his paternal aunt."
Family
ClaimDetailEvidence
SpouseIsaac Angelos II, Emperor of Byzantium (~1155-1204) 
Child +Irene Angelica (e1178-1208) [S972]
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Attributes
ClaimDetailEvidence
GenderFemale
Name[Eirene] [Tornikaina] [S972]
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NameIrene Comnena
no source
MarriageIsaac Angelos II, Emperor of Byzantium (~1155-1204) [S972]
Cawley says before 1181, and daughter Irene married 1st in 1192, so probably much sooner.
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Timeline
ClaimDateDetailAgeEvidence
Birthest 1156 (1150-1156)
 
DeathNov 18, 1184/85 [S972]
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Sources
IndexTitle
[S972] Cawley, Charles, "Foundation of Medieval Genealogy (Medieval Lands - Byzantium 1057-1204)" (2006-7 (v1.4 Updated 23 September 2007)) (https://fmg.ac/Projects/MedLands/BYZANTIUM 10571204.htm).