First, I am a little bit confused because the family name Li could be or for Chinese character. I don't know which one you want to say.
Most Hakka people in Dongguan live in rural townships such as ZhangMuTou, QingXi, FengGang and DaLingShan. Zhang MuTou is the oldest and best-preserved Hakka settlement in Dongguan, you can try your luck there, and an interpreter is advised.
In FengGang, there is a 200-year-old temple called Hui Long An ( ) which keeps good records of Hakka family tree in the township. You can more details with this link (Chinese)<A href= |