Is there any Biblical or Historical data to confirm such a claim that Mary was "assumed" into Heaven?
No, and even Rome fully admits this, for they base it on mere "tradition" and fallen human "reason".
“I answer that, Nothing is handed down in the canonical Scriptures concerning the sanctification of the Blessed Mary as to her being sanctified in the womb; indeed, they do not even mention her birth. But as Augustine, in his tractate on the Assumption of the Virgin, argues with reason, since her body was assumed into heaven, and yet Scripture does not relate this...” [Thomas Aquinas; Summa Theologica; Third Part; Question 27; Article I; “I answer that...”] [The Summa Theologica of St. Thomas Aquinas Second and Revised Edition, 1920 Literally translated by Fathers of the English Dominican Province Online Edition Copyright © 2008 by Kevin Knight Nihil Obstat. F. Innocentius Apap, O.P., S.T.M., Censor. Theol. Imprimatur. Edus. Canonicus Surmont, Vicarius Generalis. Westmonasterii. APPROBATIO ORDINIS Nihil Obstat. F. Raphael Moss, O.P., S.T.L. and F. Leo Moore, O.P., S.T.L. Imprimatur. F. Beda Jarrett, O.P., S.T.L., A.M., Prior Provincialis Angliæ MARIÆ IMMACULATÆ - SEDI SAPIENTIÆ ] -
SUMMA THEOLOGIAE: The sanctification of the Blessed Virgin (Tertia Pars, Q. 27)
“... At the same time, it must be confessed that we do not possess any authentic documents bearing directly on Mary's post-Pentecostal life. ...” [Roman Catholic Online Encyclopedia; “V”; “The Most Blessed Virgin Mary”; subsection “The Post-pentesoctal Life Of Mary”] -
CATHOLIC ENCYCLOPEDIA: The Blessed Virgin Mary
“... Regarding the day, year, and manner of Our Lady's death, nothing certain is known. ...” [Roman Catholic Online Encyclopedia; “A”; “Assumption Of Mary”; subsection “The Fact Of The Assumption”] -
CATHOLIC ENCYCLOPEDIA: Assumption of Mary
"St. John Damascene St. John of Damascus (P.G., I, 96) thus formulates the tradition of the Church of Jerusalem: St. Juvenal, Bishop of Jerusalem, at the Council of Chalcedon (451), made known to the Emperor Marcian and Pulcheria, who wished to possess the body of the Mother of God, that Mary died in the presence of all the Apostles, but that her tomb, when opened, upon the request of St. Thomas, was found empty; wherefrom the Apostles concluded that the body was taken up to heaven." [Roman Catholic Online Encyclopedia; “A”; “Assumption Of Mary”; subsection “The Fact Of The Assumption”] -
CATHOLIC ENCYCLOPEDIA: Assumption of Mary
"The feast of the Assumption Regarding the origin of the feast we are also uncertain. It is more probably the anniversary of the dedication of some church than the actual anniversary of Our Lady's death. That it originated at the time of the Council of Ephesus, or that St. Damasus introduced it in Rome is only a hypothesis. ..." [Roman Catholic Online Encyclopedia; “A”; “Assumption Of Mary”; subsection “The Feast Of The Assumption”] -
CATHOLIC ENCYCLOPEDIA: Assumption of Mary