As far as i know most orchids in the Oncidium group will not re-bloom from a spent flower stem though some Tolumnia do.

There are now three "Oncidiums" called Charlesworthii. Some of these name changes make sense, others will just cause confusion. Interesting to know what
what other people do. I'm just just going to change the three Oncidiinae Classes at the local orchid society to be divided on flower sizes.

The actual name that came with the Orchid was 'Mtdm Issaku Nagata Emi' if that helps. I guess I will remove it soon then if it wont have new growth of any kind, just wanted to be sure. I tried to look up some info on where or not I should remove it on the web, but I couldn't find anything.

The expanded name of your orchid is Miltonidium Issaku Nagata 'Emi' and the RHS have changed the Miltonidium bit to Oncidium. So your name is a synonym.

Do not be in a hurry to change your name tag! If you are interested in finding more information there is some more stuff in the link that might be useful.

I have an orchid with similar ancestors to yours and it has never shown any sign of reblooming.

Here is a link that might be useful: What does this name stuff mean

a couple of words should be added to the last sentence.
.....reblooming from the spent flowering stem.

Thanks, for the follow up. I feel safer removing the spent stalk now. I'm versed well in the ways of Bonsai trees and landscaping but Orchids are not my cup of tea.