Rein of King Saul and King David  

Ch. 9 Saul becomes the 1st king to over Israel after he is anointed by Samuel ...Ch 15:35 ...and the Lord repented that he had made Saul king over Israel.  Ch 16:13 David is anointed the 2nd King of Israel by Samuel.   16:14 The Spirit of the Lord departs from Saul and an evil spirit from the Lord troubled him.  David is sent to comfort King Saul with music... Saul dies at the end of 1st Samuel  

Ch 2 Under protest Ishbosheth (Saul's son) is declared king, but he is never anointed King. 

Ch 2 David is Made King over Israel

Ch 12 Solomon is Born 

Throughout 1st Chronicles is listed lineages of Israelites and its workers within their nation from Adam to David .  It details the organizing of their Kingdom and preparation to build their permanent structure temple of worship throughout the life of David unto his death,