What does it mean?

[Blacklotus2004]

What does Rights of priority mean? Suppose a company has the right of priority over my novel, does that mean that the company has the copyright of my work?
And if I make my novel into a Manga, would the profits generated from them have to be shared with the said company? Even though I didnt sign any contract with them for my story?

Though they would have the right of priority over my story.

 

[Zirrboy]

The right of priority

Intellectual rights are characterised by the territoriality rule. This principle means that a patent, breeders' rights, a trademark, design or model is only valid in the country in which protection was obtained.

economie.fgov.be

This sounds like a fitting definition for your case, though it might help to post an exert containing the word in question for context, as there similar terms with slightly different meanings to my knowledge.

 

[Twistedskald]

Sounds like they are claiming to have first say in matters regarding this novel. I don't if it's something about the name or this company is just one of those grifter entities that make money entirely from predatory legal actions.

Ok, I'm looking the term up on Wikipedia, according to it...

"...priority right or right of priority is a time-limited right, triggered by the first filing of an application for a patent, an industrial design or a trademark respectively. The priority right allows the claimant to file a subsequent application in another country for the same invention, design, or trademark effective as of the date of filing the first application. When filing the subsequent application, the applicant must claim the priority of the first application in order to make use of the right of priority. The right of priority belongs to the applicant or his successor in title.

The period of priority, i.e., the period during which the priority right exists, is usually 6 months for industrial designs and trademarks and 12 months for patents and utility models. The period of priority is often referred to as the priority year for patents and utility models."

So, it's a legal period of exclusivity for the supposed inventor.