"The priests and elders also feared lest Peter might make one of those powerful appeals which had frequently aroused the people to study the life and character of Jesus—appeals which they, with all their arguments, had been unable to controvert. Peter's zeal in advocating the cause of Christ had led many to take their stand for the gospel, and the rulers feared that should he be given an opportunity to defend his faith in the presence of the multitude who had come to the city to worship, his release would be demanded at the hands of the king. AA 144.4 While, upon various pretexts, the execution of Peter was being delayed until after the Passover, the members of the church had time for deep searching of heart and earnest prayer. They prayed without ceasing for Peter, for they felt that he could not be spared from the cause. They realized that they had reached a place where, without the special help of God, the church of Christ would be destroyed. AA 145.1"
"Now when they saw the boldness of Peter and John, and perceived that they were unlearned and ignorant men, they marvelled; and they took knowledge of them, that they had been with Jesus."
Both passages highlight the boldness of Peter and the fear it instilled in the religious leaders. The EGW passage expands on this fear, explaining the priests' and elders' concerns about Peter's influence on the people.
"Meanwhile worshipers from every nation sought the temple which had been dedicated to the worship of God. Glittering with gold and precious stones, it was a vision of beauty and grandeur. But Jehovah was no longer to be found in that palace of loveliness. Israel as a nation had divorced herself from God. When Christ, near the close of His earthly ministry, looked for the last time upon the interior of the temple, He said, “Behold, your house is left unto you desolate.” Matthew 23:38 . Hitherto He had called the temple His Father's house; but as the Son of God passed out from those walls, God's presence was withdrawn forever from the temple built to His glory. AA 145.2"
"Behold, your house is left unto you desolate."
EGW directly quotes Matthew 23:38.
"The day of Peter's execution was at last appointed, but still the prayers of the believers ascended to heaven; and while all their energies and sympathies were called out in fervent appeals for help, angels of God were watching over the imprisoned apostle. AA 145.3"
"Peter therefore was kept in prison: but prayer was made without ceasing of the church unto God for him."
Both passages describe the prayers of believers ascending to heaven on behalf of Peter while he was imprisoned.
"in different watches, guarded him day and night. In his cell he was placed between two soldiers and was bound by two chains, each chain being fastened to the wrist of one of the soldiers. He was unable to move without their knowledge. With the prison doors securely fastened, and a strong guard before them, all chance of rescue or escape through human means was cut off. But man's extremity is God's opportunity. AA 145.4"
"And when Herod would have brought him forth, the same night Peter was sleeping between two soldiers, bound with two chains: and the keepers before the door kept the prison."
The EGW passage directly recounts the details of Peter's imprisonment as described in Acts 12:6, including the soldiers, chains, and prison doors.