Infelizmente, é improvável que haja uma resposta para isso; de acordo com o prólogo, os próprios hobbits não mantiveram registros até a instalação do Condado (TA 1601 de acordo com o Apêndice B) e, em qualquer caso, não eram muito para aprendizado e história:
A love of learning (other than genealogical lore) was far from general among them, but there remained still a few in the older families who studied their own books, and even gathered reports of old times and distant lands from Elves, Dwarves, and Men. Their own records began only after the settlement of the Shire, and their most ancient legends hardly looked further back than their Wandering Days.
Fellowship of the Ring Prologue Chapter 1: "Concerning Hobbits"
Isso já passou muito tempo antes do nascimento de Sméagol (ele toma posse do Anel em TA 2463), mas seu povo estava isolado do povo Shire; Gandalf observa em Irmandade do Anel que o povo de Sméagol havia se estabelecido no Anduin, perto dos campos de Gladden:
'Long after, but still very long ago, there lived by the banks of the Great River on the edge of Wilderland a clever-handed and quiet-footed little people. I guess they were of hobbit-kind; akin to the fathers of the fathers of the Stoors, for they loved the River, and often swam in it, or made little boats of reeds.
Fellowship of the Ring Book I Chapter 2: "The Shadow of the Past"
Com base no Apêndice B, esse grupo provavelmente se separou dos outros Stoors em cerca de TA 1356:
1356 About this time the Stoors leave the Angle, and some return to Wilderland.
Return of the King Appendix B: "The Tale of Years" The Third Age
Tudo isso é uma maneira indireta de dizer que não há uma abundância de informações sobre nomes contemporâneos para hobbit-folk. Considerando seu longo isolamento, parece provável que eles tenham desenvolvido um nome único para si mesmos, que se perdeu quando morreram.
O mais provável origem desse nome é provavelmente o sindarin Periannath; a primeira referência à palavra usada está no TA 1050:
1050 The Periannath are first mentioned in records, with the coming of the Harfoots to Eriador.
Return of the King Appendix B: "The Tale of Years" The Third Age
Mas, novamente, os primeiros hobbits provavelmente tinham um nome para si mesmos que antecedia seus primeiros encontros com o Big Folk. O prólogo mais ou menos sugere que os nomes das tribos (Harfoot, Fallohide e Stoor) estavam em uso na época, mas não está claro de maneira alguma:
Before the crossing of the mountains the Hobbits had already become divided into three somewhat different breeds: Harfoots, Stoors, and Fallohides. The Harfoots were browner of skin, smaller, and shorter, and they were beardless and bootless; their hands and feet were neat and nimble; and they preferred highlands and hillsides. The Stoors were broader, heavier in build; their feet and hands were larger, and they preferred flat lands and riversides. The Fallohides were fairer of skin and also of hair, and they were taller and slimmer than the others; they were lovers of trees and of woodlands.
Fellowship of the Ring Prologue Chapter 1: "Concerning Hobbits"
Infelizmente, simplesmente não sabemos.