Miriam, an Old Testament name, is the same as Mary in the New. As in fasting, all mourn, see Joel 2:16, so in praising should all partake. It was a common thing in the Church, in after ages, so to celebrate the praises of the Lord. See Jdg 5:1; 1 Samuel 18:6.
Related Commentaries of Exodus 15:19
Exodus 15:19-20
19 For the horse of Pharaoh went in with his chariots and with his horsemen into the sea, and the LORD brought again the waters of the sea upon them; but the children of Israel went on dry land in the midst of the sea.
20 And Miriam the prophetess, the sister of Aaron, took a timbrel in her hand; and all the women went out after her with timbrels and with dances.