This pool table can't be identified from these two tiny photos.
That "Detroit Billiard Table Supply Co." name plate isn't the original nameplate of the pool table's manufacturer.
As was very common practice in that era, pool table service companies (like the Detroit Billiard Table Supply Co.) often put their nameplates on the pool tables that they serviced, moved, or sold.
Frankly, I can't believe they got away with it, but it was a very common practice.
So given that this Detroit Billiard Table Supply Co. name plate can't be used to ID the manufacturer, brand, or model name, we'll need much better photos, and preferably some history (where the table is located geographically, original owners, etc).
Are there any markings under the pool table?
The one thing we can do based on the name plate is narrow in on a time frame.
The Detroit Billiard Table Supply Co. is found in Detroit City business listings dated between 1917 and 1923, so I would assume the pool table is from that period or earlier.