I just purchased this handmade table and 4 chairs from a private seller. He did not know the type of wood that was used for the table. We are looking to refinish it but need to know what type of wood this is before proceeding. We think it's oak but not positive. Thank you for your assistance.

I'd choose a light sagey green.

Give the Brazilian Cherry (Jatoba) some time. Winter is not a time with a lot of natural light. The Jatoba, once exposed to UV lighting (that includes over head lighting) can and will deepen. If you feel your kitchen floor isn't red enough, then all you have to do is leave the lights on and wait a while. Really. I mean that. I've seen Jatoba turn PINK and PURPLE. It also turns flaming orange/red/brown. In fact it has two colour presentations. It will either turn pink/purple or it will turn red/orange. You won't know which product you purchased until it is about a year old. If you cannot stand the current colour differences, then the options you have are limited. Even if you sand/refinish the Kitchen Jatoba to match the existing hardwood, you will find the kitchen floor will change to a darker/redder (or pinker) version of the stain you applied. Again, you will get a mismatch. This will happen ever time you try to change the colour. The other option (which you were trying to avoid) is to rip out the ORIGINAL wood and install EVERYTHING in the kitchen Jatoba. I would do this as quickly as you can...because you do not want to see a "pink" Jatoba up against an orange Jatoba. Ideally you should have/would have ordered all the wood at the same time = same lot = greater likelihood of having Jatoba in only ONE colour presentation (it isn't a guarantee, but it is much more likely). You have a third option...which again involves ripping out one of the hardwoods. You can remove one of the floors, install something like Hickory (has all the variations in colour as either floor) and then stain IT to match the existing wood. Hickory doesn't change very much (it can get a snick lighter). In other words, you can either leave the floors alone and simply live with what you have (super cheap option) or you can rip one of them out, install a STABLE wood like hickory and stain IT to mimic the existing floor.

The only pic close enough to see the grain (which is necessary for ID) is the edge, and that looks like the pine family, so fir is a good guess IMO. The weathered front looked to me like it could have been mahogany but we'll have to assume it's fir unless OP posts a closeup of the grain, preferably where the finish is still good. Mahogany has a distinctive cross grain.