"As time passed, and Elijah was prepared for translation, so Elisha was prepared to become his successor. And again his faith and resolution were tested. Accompanying Elijah in his round of service, knowing the change soon to come, he was at each place invited by the prophet to turn back. “Tarry here, I pray thee,” Elijah said; “for the Lord hath sent me to Bethel.” But in his early labor of guiding the plow, Elisha had learned not to fail or to become discouraged; and now that he had set his hand to the plow in another line of duty, he would not be diverted from his purpose. As often as the invitation to turn back was given, his answer was, “As the Lord liveth, and as thy soul liveth, I will not leave thee.” 2 Kings 2:2 . Ed 59.2"
"And Elijah said unto Elisha, Tarry here, I pray thee; for the Lord hath sent me to Beth–el. And Elisha said unto him, As the Lord liveth, and as thy soul liveth, I will not leave thee. So they went down to Beth–el."
Ellen White directly references 2 Kings 2:2 in this passage.
"“And they two went on.... And they two stood by Jordan. And Elijah took his mantle, and wrapped it together, and smote the waters, and they were divided hither and thither, so that they two went over on dry ground. And it came to pass, when they were gone over, that Elijah said unto Elisha, Ask what I shall do for thee, before I be taken away from thee. And Elisha said, I pray thee, let a double portion of thy spirit be upon me. And he said, Thou hast asked a hard thing: nevertheless, if thou see me when I am taken from thee, it shall be so unto thee; but if not, it shall not be so. And it came to pass, as they still went on, and talked, that, behold, there appeared a chariot of fire, and horses of fire, and parted them both asunder; and Elijah went up by a whirlwind into heaven. Ed 59.3"
"And it came to pass, as they still went on, and talked, that, behold, there appeared a chariot of fire, and horses of fire, and parted them both asunder; and Elijah went up by a whirlwind into heaven."
EGW directly quotes 2 Kings 2:11, making this a clear and explicit allusion.