"God instructed David, saying, “Thou shalt not go up; but fetch a compass behind them, and come upon them over against the mulberry trees. And let it be, when thou hearest the sound of a going in the tops of the mulberry trees, that then thou shalt bestir thyself: for then shall the Lord go out before thee, to smite the host of the Philistines.” If David, like Saul, had chosen his own way, success would not have attended him. But he did as the Lord had commanded, and he “smote the host of the Philistines from Gibeon even to Gazer. And the fame of David went out into all lands; and the Lord brought the fear of him upon all nations.” 1 Chronicles 14:16, 17 . PP 704.2"
"And let it be, when thou hearest the sound of a going in the tops of the mulberry trees, that then thou shalt bestir thyself: for then shall the Lord go out before thee, to smite the host of the Philistines."
The EGW passage directly quotes 2 Samuel 5:24, making it a clear and explicit allusion.
"Now that David was firmly established upon the throne and free from the invasions of foreign foes, he turned to the accomplishment of a cherished purpose—to bring up the ark of God to Jerusalem. For many years the ark had remained at Kirjath-jearim, nine miles distant; but it was fitting that the capital of the nation should be honored with the token of the divine Presence. PP 704.3"
"So David gathered all Israel together, from Shihor of Egypt even unto the entering of Hemath, to bring the ark of God from Kirjath–jearim. And David went up, and all Israel, to Baalah, that is, to Kirjath–jearim, which belonged to Judah, to bring up thence the ark of God the Lord, that dwelleth between the cherubims, whose name is called on it."
Both passages describe David's desire and actions to bring the Ark of God from Kirjath-jearim to a more central location. The EGW passage summarizes the events described in 1 Chronicles 13:5-6.
"David summoned thirty thousand of the leading men of Israel, for it was his purpose to make the occasion a scene of great rejoicing and imposing display. The people responded gladly to the call. The high priest, with his brethren in sacred office and the princes and leading men of the tribes, assembled at Kirjath-jearim. David was aglow with holy zeal. The ark was brought out from the house of Abinadab and placed upon a new cart drawn by oxen, while two of the sons of Abinadab attended it. PP 704.4"
"So David gathered all Israel together, from Shihor of Egypt even unto the entering of Hemath, to bring the ark of God from Kirjath–jearim."
EGW describes the gathering of people to bring the ark from Kirjath-jearim, which is the central event described in 1 Chronicles 13:5. While not a direct quote, the passage clearly refers to and expands upon the biblical narrative.
"The men of Israel followed with exultant shouts and songs of rejoicing, a multitude of voices joining in melody with the sound of musical instruments; “David and all the house of Israel played before the Lord ... on harps, and on psalteries, and on timbrels, and on cornets, and on cymbals.” It had been long since Israel had witnessed such a scene of triumph. With solemn gladness the vast procession wound its way along the hills and valleys toward the Holy City. PP 704.5"
"And David and all the house of Israel played before the Lord on all manner of instruments made of fir wood, even on harps, and on psalteries, and on timbrels, and on cornets, and on cymbals."
EGW directly quotes 2 Samuel 6:5.