"Chapter 9—Answers to Prayer In the spring of 1845 I made a visit to Topsham, Maine. On one occasion quite a number of us were assembled at the house of Brother Stockbridge Howland. His eldest daughter, Miss Frances Howland, a very dear friend of mine, was sick with rheumatic fever, and under the doctor's care. Her hands were so badly swollen that the joints could not be distinguished. As we sat together speaking of her case, Brother Howland was asked if he had faith that his daughter could be healed in answer to prayer. He answered that he would try to believe that she might, and presently declared that he did believe it possible. LS 74"
"Is any sick among you? let him call for the elders of the church; and let them pray over him, anointing him with oil in the name of the Lord: And the prayer of faith shall save the sick, and the Lord shall raise him up; and if he have committed sins, they shall be forgiven him."
The EGW passage describes a prayer meeting for a sick person, with the question of faith in healing being raised. The Bible verse directly addresses prayer for the sick and the role of faith. The connection is strong and relevant.
"We all knelt in earnest prayer to God in her behalf. We claimed the promise, “Ask, and ye shall receive,” John 16:24 . The blessing of God attended our prayers, and we had the assurance that God was willing to heal the afflicted one. One of the brethren present cried out, “Is there a sister here who has the faith to go and take her by the hand, and bid her arise in the name of the Lord?” LS 74.2"
"Hitherto have ye asked nothing in my name: ask, and ye shall receive, that your joy may be full."
Ellen White directly references John 16:24 in this passage.
"Sister Frances was lying in the chamber above, and before he ceased speaking Sister Curtis was on her way to the stairs. She entered the sickroom with the Spirit of God upon her, and taking the invalid by the hand, said, “Sister Frances, in the name of the Lord arise, and be whole.” New life shot through the veins of the sick girl, a holy faith took possession of her, and obeying its impulse, she rose from her bed, stood upon her feet, and walked the room, praising God for her recovery. She was soon dressed, and came down into the room where we were assembled, her countenance lighted up with unspeakable joy and gratitude. LS 74.3"
"Then Peter said, Silver and gold have I none; but such as I have give I thee: In the name of Jesus Christ of Nazareth rise up and walk."
Both passages describe a miraculous healing where someone is commanded to rise and walk in the name of the Lord. The language and the event are very similar.
"And he took the damsel by the hand, and said unto her, Talitha cumi; which is, being interpreted, Damsel, I say unto thee, arise."
Both passages describe a healing where someone is taken by the hand and told to arise. The similarity in action and result makes this a strong thematic parallel.