In the ancient time, there were some pavilions for travelers in the remote area. The pavilions could be as simple as shade booth, or as complex as small restaurant.
We can recall another character Rest - 休 (Post 75). Its shell bone script is
The left is a Person, the right is Wood (= Tree), a Person + Tree = Rest, when there was no pavilion, people just sit against a tree truck.
The small seal script for Stop is
The clerical script for Stop is
Its Pinyin is Ting2.
I have to point out that there is another character of Stop - 止 （Post 93), its shell bone script is
a foot (left foot), which means that you have to use your feet to stop. Both are used right now, but 停 is more popular than 止.