What are some natural ways to eliminate spider veins?

What is natural? Drs. Rosenfeld and rosato are right. If by natural you mean things that don't involve a medical procedure, none of them work. Don't waste your time and money. If you want to do something that is actually effective, you should have sclerotherapy on the legs or consider laser for the face.
There are none. "spider" veins are dilated blood vessels. Once present there is no "natural" way to eliminate them. Of course they may be covered with makeup.
Prevention . Wearing good supportive hose can help with symptoms but does not remove spider veins. Cosmetic's and hose can hide sider veins but either injection or laser are required to treat spider veins. Occasionally electric current can also be used.