This will be extremely hard to price accurately without seeing it in person.
Condition is everything. If parts were replaced, that will affect value. If repairs were done that were of low quality or done in such a way that wasn't in keeping with the original materials or construction style, that can affect value.
There are many factors.
Antique Brunswick Balke-Collender snooker tables of this age and size can sell for over many thousands of dollars if the right buyer is found. The size both helps (larger ones are more rare, and more sought-after), and hurts (because there is a much smaller group of potential buyers at that size and price bracket).
If it was to be professionally restored (as in, by an experienced antique pool table restoration company which specializes specifically in early 1900s Brunswick Balke-Collender pool table restorations), the value would be increased dramatically. Those restorations can run between $2000 to $6000 or more, but can increase the table's value by over $10000.
But the main problem is that there aren't many sales of these happening, and that's primarily how we value pool tables. Typically you look at recent sales of similar models in similar conditions, and base the price on that.
Either way, now that you know what model you have, you can set alerts on eBay and other classified sites. Monitor those over time to get a feel for pricing and what's selling and what's not.
If I was forced to value it as-is for insurance purposes, and with only seeing those photos, I would insure it for $10,000. That's my personal opinion, as I wasn't able to locate any comparable and recent sales data for this model.