I checked the information and found that the ancient Liao kingdom was in the central and eastern Inner Mongolia, as well as the whole territory of Mongolia, etc., while the Jin kingdom included the present places of North China, East Inner Mongolia and North Korea. In fact, the information is not complete, because the map at that time was not very accurate, and the current map style is different from that at that time, so now I can only look at it roughly.
Studying history, we all know that Yelushi established the capital of Liao in Beijing, near Huangfu, which is Lindong Town in Balinzuoqi, Inner Mongolia today. The areas under the jurisdiction of the State of Jin include Beijing, Tianjin, Shandong, Hebei and other North China areas.
The above is my opinion, I hope I can help you.