"“About two weeks before our camp meeting the disease from which I had been suffering was checked, yet I gained little strength. As the time for the meeting drew near, it seemed impossible that I could take any part in it.... I prayed much over the matter, but still remained very feeble.... In my suffering condition I could only fall helpless into the arms of my Redeemer, and there rest. LS 264.1"
"Cast thy burden upon the Lord, and he shall sustain thee: he shall never suffer the righteous to be moved."
The EGW passage describes a situation where she felt weak and relied on God, which echoes the sentiment of casting one's burdens on the Lord as described in Psalm 55:22. The parallel is clear and meaningful.