No dragonborn are native to Fallcrest, but travelers occasionally pass through and take up work for a time, especially as bodyguards or caravan guards. The Halfmoon Halflings, House Azaer, and the importer Naerumar have work available for a capable adventurer.
A fair number of dwarves live in Fallcrest, so a dwarf character could easily be a native of the city perhaps a relative of Teldorthan Irontooth. If not, the nearest dwarven homeland is Hammerfast, a week's travel distant. Merchants and crafters from Hammerfast travel to Fallcrest to trade or work, lodging in one of the local inns for a few weeks.
Eladrin are not often seen in Fallcrest. Some of the old manors in the Moon Hills and the nearby parts of the Vale were once the homes of well-off Eladrin families; a player character Eladrin might hold the title to an abandoned estate a mile or two out of town, which provides a good reason to call on Lord Markelhay (and earns the enmity of Armos Kamroth, who wants the land for his own).
Elves are also scarce in Fallcrest, but a small number reside in and around the town. Ressilmae Starlight of the temple of Sehanine might be a relative or an old friend of an elf character. Elves from outside Fallcrest might belong to the Woodsinger clan from the Harkenwold Forest.
A small number of half-elves reside in Fallcrest or the vicinity. Most are well-off farmers or herders living in the Moon Hills near the town; the rest are expert artisans jewelers, tailors, or woodworkers in the town. A half-elf player character can be the child or relative of a Fallcrest family.
Halflings are the most numerous people in Fallcrest aside from humans, and they come from any walk of life. A Fallcrest native might be related to the Halfmoon family, the Ostermans of the Silver Unicorn, or the Thistletons of Fallcrest Stables. Halflings descended from the traders who pass through Fallcrest can be members of the Swiftwater clan.
Most of Fallcrest's people are human. Characters with rural backgrounds likely grew up on the farms in the nearby Moon Hills. Characters with an urban upbringing might be the children of well-off landowners such as the Kamroths, or ruffians and sellswords who had a hard childhood in Lowtown.
Two Tiefling families and a few individuals live and thrive in Fallcrest, including the Azaers and the Naerumars.