the woman was “Bathsheba, the daughter of Eliam and the wife of Uriah the Hittite”; thus, she was the daughter of one of David’s best fighters (cf. 23:34), the granddaughter of his most trusted counselor (cf. 16:23; 23:34), and the wife of one of his inner circle of honored soldiers
The heart of the confession is found in 4a: “Against you, you only, I have sinned.” Some commentators (see the summaries in Perowne, 415; Gunkel, 222) have noted the absence of any confession of sin against other human beings and have assumed that such awareness is missing from the confession. But other OT passages make it clear that from an early time in Israel sins against persons were believed to be sins against God (Kraus, 543); see 2 Sam 12:9, 10, 13; Gen 39:9; Prov 14:31; 17:5. Violation of the commandments of God is construed as sin against God himself (Kraus, 544; Weiser, 403).