This is an official answer by QuranicNames.com Staff
Both of those are very good names for girls, mentioned in the Quran. Mustabshirah means someone who carries good news and is rejoicing (Quran 80:39). Mishkaat (not Mihkaat, I expect you meant Mishkaat) means niche, a shallow recess in a wall that, in the Quranic verse (24:35), contains a lantern, a picture would make it clear:
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