| Common names for orchids are essentially useless because they're not standardized. One orchid can have several different common names and a single common name can apply to several different orchids. I did a very quick web search for "brazilian spider orchid." I found no hits for all three words together which came as no surprise since you indicated that the name simply meant that it was a "spider orchid" from Brazil.
So my most common hits for "spider orchid" were:
Caldenia which is not from South America and which is a terrestrial and therefore doesn't have conventionally dividable pseudobulbs, so cross that off the list.
Prostechea cochleata which eventhough it is from South America and a sympodial, is also roughly as common as air.
The other frequent hit was for Brassia. If you orchid is a brassia, as I suspect it is, it will probably make a spectacular display when it blooms, and may be special in a sentimental sense, but is not a rare orchid. Both Brassia species and hybrids are easy to find for sale and in collections across Europe, the Americas, Australia, and other places.
The orchidgeeks love to see pictures of orchids, both plants and in flower and I'm no exception. I'm eager to see your plant and its flowers!
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