Origins of Hobbits - are they Eruhini?

[Galadriel55]

The question is really straightfoward. Where do hobbits come from?
It is known that Eru planned on creating (and created) elves and humans.
He allowed Dwarves to exist for Aule's sake.
But where do hobbits come from? Were they also "planned"? Are they some "lost tribe" of another race that got very short? How did they become what they are? Could it perhaps be the trace of their roots and origins?

I haven't read the Unfinished Tales, Tolkien's letters, or any other source that could give me an answer. So can you smart people share your knowledge?

I apologize if such a thread already exists.