Are Heman and Ethan the men named in the Psalms and in 1 Kings?

The Bible doesn't say. Here Heman is "Heman the singer, the son of Joel, the son of Samuel" (6:33), of "the sons of the Kohathites" (6:33), and Ethan is "Ethan the son of Kishi" (6:44), of "the sons of Merari" (6:44). When David brings up the ark, "the Levites appointed Heman the son of Joel; and of his brothers, Asaph the son of Berechiah; and of the sons of Merari their brothers, Ethan the son of Kushaiah" (15:17). Chapter 2 names "Zimri, Ethan, Heman, Calcol, and Dara" among "The sons of Zerah" (2:6). 1 Kings says Solomon was "wiser than Ethan the Ezrahite, Heman, Calcol, and Darda, the sons of Mahol" (1 Kings 4:31). Psalm 88's title has "A contemplation by Heman, the Ezrahite" (Psalm 88:1), and Psalm 89's "A contemplation by Ethan, the Ezrahite" (Psalm 89:1). None of these verses says whether its Heman or Ethan is the singer of this chapter, and they are left side by side.