Tolkien frequently refers to Hobbit settlements as "villages", but the phrase "Hobbit Village" has never been used by Tolkien
The first usage would be The Hobbit, referring to Hobbiton
Just then all the others came round the corner of the road from the village. They were on ponies, and each pony was slung about with all kinds of baggages, packages, parcels, and paraphernalia. There was a very small pony, apparently for Bilbo.
The Hobbit - Chapter 2 - "Roast Mutton"
In the Lord of the Rings, we get some additional usages, explicitly confirming that Hobbiton, Tuckborough, Woodhall, Bucklebury, Frogmorton, Bywater, and Gamwich are all villages, but that Michel Delving is not and is instead a "township".
Indeed, even in the hilly regions and the older villages, such as Hobbiton or Tuckborough, or in the chief township of the Shire, Michel Delving on the White Downs, there were now many houses of wood, brick, or stone.
The Lord of the Rings - Prologue, 1 - "Concerning Hobbits"
Nearer at hand a few lights twinkled in the village of Woodhall.
The Lord of the Rings - Book I, Chapter 3 - "Three is Company"
Its chief village was Bucklebury, clustering in the banks and slopes behind Brandy Hall.
The Lord of the Rings - Book I, Chapter 5 - "A Conspiracy Unmasked"
As evening fell they were drawing near to Frogmorton, a village right on the Road, about twenty-two miles from the Bridge.
The Lord of the Rings - Book VI, Chapter 8 - "The Scourging of the Shire"
But in the village of Bywater all the houses and holes were shut, and no one greeted them.
The Lord of the Rings - Book VI, Chapter 8 - "The Scourging of the Shire"
According to family tradition, set out in the Red Book, the surname Galbasi, or in reduced form Galpsi, came from the village of Galabas, popularly supposed to be derived from galab- ‘game’ and an old element bas-, more or less equivalent to our wick, wich. Gamwich (pronounced Gammidge) seemed therefore a very fair rendering.
The Lord of the Rings - Appendix F, II - "On Translation"
While not part of the shire, it should perhaps be noted that Hobbit settlements near the Anduin were also referred to as villages, as were the human/hobbit settlements in Bree-land
“I wish you would not always speak so confidently without knowledge,” I said sharply. “These villagers have lived in the Shire some fourteen hundred years, and they have learned many things in the time.
Unfinished Tales - "The Quest for Erebor"
Bree was the chief village of the Bree-land, a small inhabited region, like an island in the empty lands round about. Besides Bree itself, there was Staddle on the other side of the hill, Combe in a deep valley a little further eastward, and Archet on the edge of the Chetwood. Lying round Bree-hill and the villages was a small country of fields and tamed woodland only a few miles broad.
The Lord of the Rings - Book I, Chapter 9 - "At the Sign of the Prancing Pony"
Looking at some lesser known Tolkien writings, we can see a few other Hobbit settlements referred to as villages: Berendon, Overhill, Budgeford, Whitwell, Hardbottle, and Waymeet.
Breredon (Briar Hill) was a little village on rising ground behind the hythe, in the narrow tongue between the end of the High Hay and the Brandywine.
The Adventures of Tom Bombadil - "Preface"
In his notes for the Dutch translator Tolkien said of Overhill: ‘plainly the village received its name since it was over or beyond The Hill from Hobbiton’.
The Lord of the Rings: A Reader's Companion - Book I, Chapter 2
Budgeford: Village by a ford over the Shire-water in Bridgefields (chief dwelling of the Bolgers)
Whitwell: Village on the Downs near Tuckborough, home of Peregrin
Hardbottle: Village in the Southfarthing
Tolkien's unfinished LotR index, quoted in The Lord of the Rings: A Reader's Companion in Book I Chapter 5, Book V Chapter 1, and Book VI Chapter 9
Waymeet: In the map [printed as] Waymoot in the text modernized as Way-meet, a village at the meeting of three ways. Translate by sense, as convenient.
Nomenclature of the Lord of the Rings
However, in none of Tolkien's known writings does the phrase "hobbit village" appear.
