Hawthorn Glen is in a nice area, quiet and easy access to everything. I have lived in the immediate area for 26 years, starting across 78 in Summit Chase and currently in the middle of Grayson, so am familiar with differences in all the areas. Hawthorn Glen is closer to highway 78 and therefore more traffic than areas either closer to downtown Grayson or on the other side, but it depends on what you're looking for. If you need to hop onto 78 to drive downtown for work, it is much more convenient than some of the other areas. If you are truly looking for a quieter place, then I would recommend the other side of Grayson, where 84 crosses Ga20 and turns into Grayson-New Hope.
If you'd like some more specific ideas of places to look, feel free to let me know.