* It's a misspelling. There might be a similar-sounding word you're thinking of.
* It's a specific family name or surname. Some names, especially those of Italian or French origin, may have unique and uncommon spellings.
* It's a made-up word. It could be a fictional name from a book or game, or simply a word created for a specific purpose.
To help me understand what you mean, please provide more context.
For example:
* Where did you encounter this word? (book, website, conversation)
* What is the general topic or subject?
* Do you have any other information about it?
With more information, I can try to figure out what "LaGlotrice" might mean.