I am trying to represent differing conclusions fairly.
On the language wikis, since perhaps most relevantly, it’s Russia’s history (descent), I see in translation:
Russia:
https://ru.wikipedia.org/wiki/%D0%9C%D0%BE%D0%BD%D0%BE%D0%BC%D0%B0%...
Chronicle calls the wife of Vsevolod "Greek queen", "monomakh", "Greek" [6] , but does not name her name and origin. She and her marriage are not mentioned in Byzantine sources. Undoubtedly, she belonged to the Monomakh family, since this nickname was inherited by her son, and also because it was a representative of this family that ruled the empire in the year of her marriage [7] .
It is not known exactly who her parents were. It is indicated that Emperor Constantine IX Monomakh was her relative, possibly her father, since his family was generally extremely small. ...
Ukraine:
https://uk.wikipedia.org/wiki/%D0%9C%D0%B0%D1%80%D1%96%D1%8F-%D0%90...
According to Leontiy Voitovych, she was the daughter of Konstantin Monomakh from his first marriage to Olena Sklirina, before he became emperor. Researcher L. Makhnovets believes that Monomakh married his mistress Maria Sklirina (Elena Sklirina's cousin) after the death of Empress Zoe. Later Maria-Anastasia was born. There are also debates among scientists about the name. According to her own seal, her name was Maria, and according to the Vydubychi monument - Anastasia. Perhaps one of the names is a monk (before her death, the princess could accept monasticism, as was then practiced).
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Bulgarian:
https://bg.wikipedia.org/wiki/%D0%90%D0%BD%D0%B0%D1%81%D1%82%D0%B0%...
According to another opinion, in 1046 Vsevolod married not the emperor's daughter, but his more distant relative. Her name and history are not known, but in the literature, she is often present as Maria [1]., Anna or Irina [2] . Probably the opinion that the Grand Duchess of Kiev became Anastasia Monomakhina is based on the fact that the name Anastasia is mentioned in the synod of the Vidubitsky Monastery in Kiev .