Hi Becky. Yes, I do raise plants that have pulled themselves down. I grow daylilies in boxes and the soil is soft.
To raise a plant, I loosen it with a spading fork and keep the fork raised on one side as with the other hand I'm shoveling soil under it. I keep soil in a wheelbarrow when I do this and I use a perennial shovel which is small . Because I'm 5'2" I have to rest the fork on the soil and leverage the plant up to make room for the new soil. I'm doing this in the winter, so I always include a light application of fertilizer in the soil I'm adding.
Does this make sense? Good luck with your project and sorry you lost Big Snowbird.