There is information out there if you know what to look for. (Ascomycete) fungal taxonomy is a mess because they have different morphs, which are the sexual (telemorph) and asexual (anamorph) states of the fungus. This has led to fungi having dual nomenclature based on their morphs.
Fusarium solani is one very good example, where the name corresponds to the asexual morph which leads to root and leaf sheath rot. The sexual morph of the exact same fungus is called
Nectria haematococca, and forms reproductive structures in the form of red/orange balls called perithecia.
If you then google the name of the sexual form, you will probably find a lot more information. That being said, it doesn't mean that the red balls the OP sees actually are Fusarium since many other fungi make such sexual structures. I also don't know how frequently the sexual morph will develop on orchids, it could be that we never hear of it because orchids are primarily affected by the asexual one.
If you are scientifically minded, there is a nice review about the issues surrounding dual nomenclature of fungi, the reasoning behind it, and arguements for adopting a 'one fungus, one name' approach.
http://www.wi.knaw.nl/images/Researc...11.00768.x.pdf