I've been reading
Sylvie and Bruno, curious to see what their charm could have been for Tolkien. I must say, though I am not finished with the second book yet, I have yet to discover it. There are humorous moments and cute ideas, but I do not see the connection between Tolkien's noble and awe-inspiring Elves and the elfin children of Carroll. The latter seem much more conventional and their realm has little to do with Faery as shown to us in
Smith of Wootton Major. I find that the back and forth between real life and fairy world feels too pieced, and some of the real life moralizing conversations detract from the imaginative parts. Carroll explains that he jotted down many things and combined them to a story, and it doesn't feel coherent to me.
As to the passage
LMP quoted, I doubt that it has much to do with Hobbits - the context seems to be too different to me. However, it's possible, I suppose...
In addition to the online version, to which
Child linked above, I found new stanzas for the
Gardener's Song - anyone can add to that page - fun!