The table you are displaying appears to be a table that was made in more recent time. Majority of tilt tops have 3 legs - there are some out there with 4. The base looks "basic" in comparison to the top.
The top of your table appears to be done in marquetry. Marquetry is the use of veneer cut into pieces and forming decorative patterns, designs or pictures that are applied to smooth, veneer able surfaces. Parquetry is very similar in technique, however, the veneer pieces form simple repeating geometric shapes.
Marquetry and parquetry differ from the older more intricate craft of inlay, in which a solid body of one material is cut out to receive sections of another to form the surface pattern - inlaid items are of higher value if done by skilled craftsmen.
It appears from your pictures that the marquetry has some issues.
Your table is a beautiful one. You can always place a higher value on an item - there will always be a buyer somewhere out there that may pay a higher price. Sentimentality always adds value to pieces for buyers and makes it hard for sellers to part with.
Best of luck to you.
