An idea I once had (I can't remember if I actually used it, I haven't played FR in a while) was to name them after the gods of ancient Netheril. This works well as there are conveniently exactly ten Netherese gods, and of course the refugees of Netheril spread out all over the place, especially to the areas that are the main focus of many FR products (Waterdeep & the North, Western Heartlands, Cormyr, Sembia, the Dalelands, and the Moonsea).
Several of the Netherese gods exist in the modern Faerunian pantheon, but many of the portfolios have changed a bit. Particularly, some of their portfolios shrunk as other gods took over different aspects of therm.
The Netherese gods were:
Ammaunator (LN) - bureacracy, law, sun, rulership (may be related to/ancestor of Lathander).
Jannath (NG) - wild nature, animals, sea, forests, farmers, summer (precursor to Chauntea, with most of Silvanus's stuf weappend in).
Jergal (LE) - death, the dead, funerals, tombs, undead, tyrranny, dusk (precursor to Bane/Bhaal/Myrkul, but with some Kelemvor-esque tendencies).
Kozah (CE) - Storms, destruction, rebellion, strife, ravaging beasts, natural disasters (precursor to Talos with some Malar thrown in).
Moander (CE) - rotting death, decay, corruption, parasites
Mystryl (CN) - magic, the weave, spellcasters, creativity, knowledge, invention, song, time, spring (pre-Mystra with a bunc of other stuff thrown in).
Selune (CG) - moon, stars, dreams, purity, love, marriage, navigation, trackers, wanderers, good lyncathropes, autumn (as modern Selune but with Sune, Shaundakul and a few others wrapped in).
Shar (NE) - dark, night, hatred, loss, forgetfulness, sleep, illusions, lies, betrayl, thieves, murder, winter (as modern Shar with elements of Leira, Cyric, Mask, Bhaal and Auril).
Targus (CN) - war, skill-at-arms, duels, berserkers, plunder (as Tempus and Garagos the Reaver, who may actually be the same god).
Tyche (N) - Fortune, luck, fate, accidents, misfortune, adventurers, explorers, trade (later split into Tymora and Besheba but also had elements of Waukeen & Shaundakul's portfolios).
You could make up any variation of names on this from using the names as is, adding -day (Ammaunaday, Jannaday, etc.) to something more creative.