The anointing of Saul as king had not been made known to the nation. The choice of God was to be publicly manifested by lot. For this purpose Samuel convoked the people at Mizpeh. Prayer was offered for divine guidance; then followed the solemn ceremony of casting the lot. In silence the assembled multitude awaited the issue. The tribe, the family, and the household were successively designated, and then Saul, the son of Kish, was pointed out as the individual chosen. But Saul was not in the assembly. Burdened with a sense of the great responsibility about to fall upon him, he had secretly withdrawn. He was brought back to the congregation, who observed with pride and satisfaction that he was of kingly bearing and noble form, being “higher than any of the people from his shoulders and upward.” Even Samuel, when presenting him to the assembly, exclaimed, “See ye him whom the Lord hath chosen, that there is none like him among all the people?” And in response arose from the vast throng o…
"And when Samuel had caused all the tribes of Israel to come near, the tribe of Benjamin was taken."
The EGW passage describes the events of choosing Saul as king, including the casting of lots and the selection of the tribe of Benjamin, which is directly mentioned in 1 Samuel 10:20. The connection is clear and strong.
"Samuel then set before the people “the manner of the kingdom,” stating the principles upon which the monarchial government was based, and by which it should be controlled. The king was not to be an absolute monarch, but was to hold his power in subjection to the will of the Most High. This address was recorded in a book, wherein were set forth the prerogatives of the prince and the rights and privileges of the people. Though the nation had despised Samuel's warning, the faithful prophet, while forced to yield to their desires, still endeavored, as far as possible, to guard their liberties. PP 611.2"
"Now therefore hearken unto their voice: howbeit yet protest solemnly unto them, and shew them the manner of the king that shall reign over them."
The EGW passage directly refers to Samuel setting before the people 'the manner of the kingdom,' which is a direct reference to the events described in 1 Samuel 8:9. The connection is explicit and strong.
"While the people in general were ready to acknowledge Saul as their king, there was a large party in opposition. For a monarch to be chosen from Benjamin, the smallest of the tribes of Israel—and that to the neglect of both Judah and Ephraim, the largest and most powerful—was a slight which they could not brook. They refused to profess allegiance to Saul or to bring him the customary presents. Those who had been most urgent in their demand for a king were the very ones that refused to accept with gratitude the man of God's appointment. The members of each faction had their favorite, whom they wished to see placed on the throne, and several among the leaders had desired the honor for themselves. Envy and jealousy burned in the hearts of many. The efforts of pride and ambition had resulted in disappointment and discontent. PP 611.3"
"But the children of Belial said, How shall this man save us? And they despised him, and brought him no presents. But he held his peace."
The EGW passage directly refers to the opposition to Saul's kingship and the refusal to bring him presents, which is explicitly mentioned in 1 Samuel 10:27. The context and details align closely.