Hobbits

Hi

I have been wondering lately, where the Hobbits came from.
It is said in LOTR that the Hobbits are in likes to that of the Big People, but less tall. They are not like the elves, and have little in common with Dwarves (save in hight).

Are They now derived from the Edain, ( if that were the case then most probably from the Eotheod, that lived near Greenwood The Great. Because it is said that the first line of Harefoots issued from there to wander into Eriador, where they got permission to stay. So the geographic proximity had probably played a part.)
Or are they a completely new People that were created with the Men (or after)? Probably not. It is not said that they were the product of the creativity of the Valar (Silm.).
One should like to think that this had to be so. Because all living creatures that talk or practice any handywork (Men, Elves, Dwarves, and even the foul Orcs that were created by Morgoth) were sung by the Valar, who foretold their being.

Have the hobbit any relation with the Drûedain? I do not know. Or else, have the Drûedain any relation whith the Men?

Q1 Where do the Hobbit come from?
Q2 Relation between Drûedain and Hobbits?