You're welcome, Susan.
This is where Orchid naming is a bit more complicated than most plants. Orchid names have two parts - the grex (or cross name) and the clonal (also known as varietal or seedling) name.
In the case of Miltona Juicy Fruit 'Mexico', Miltonia is the genus, Juicy Fruit is the grex and 'Mexico' is the clonal name. Juicy Fruit is the name given to the cross - so any plant that is made from crossing Binotii and Matto Grosso (in either direction) gets this name. 'Mexico', being the clonal/seedling name, is specific to that particular plant. When Orchids are tissue-cultured (cloned) for mass production, you get lots of copies of the same plant (hence why this name is often called the clonal name).
The clonal name is the nearest equivalent to the cultivar name for most other plants, but you cannot call the Orchid just by the clonal name. A clonal name can be reused as long as the grex (cross) name is different. Orchid nurseries often do this - they will register a whole bunch of different hybrid crosses, but give the best plant from each cross the same clonal name (typically the name of the nursery so that you know that clone originated from them).
Often you will find Orchids, especially seedlings, are sold before the cross is registered. Hence why your plant was labelled as (Binotii X Matto Grosso) 'Mexico'.
Hopefully I haven't confused you too much!