What is the difference between?

“In their own right” means that something should be judged or evaluated according to its own merits; or that something has its own value and is dependent on nothing else for that value. (You are a photographer in your own right.) This phrase is an idiom.

In most cases, anyone who wrote “in their own write” would be simply ignorantly misspelling the idiom. However it is the kind of misuse of language that— when it is not reflecting ignorance—is something of a cerebral writer’s joke. A joke about writers TO writers, using “in your own write to mean “in your own words.” (or “their own”) Don’t be mislead into thinking it is a correct usage, however. It is still just a play on words.

Here are a couple of actual use examples in the following titles:

FSOs, In Their Own Write (a list of writings by foreign service officers) http://www.afsa.org/fsj/nov00/honleybooks.cfm

In their own Write (University website on communications) http://www.uiowa.edu/~ptimes/issues02-03/spring02-03/writing.html

Stars in their own write (article about notorious people who become writers) http://www.time.com/time/magazine/article/0,9171,962027,00.html

In their own right means they had a right to do something or they have done something that has given them a right to do something.

In their own write, is not a good phrase, perhaps in their own writing. Meaning they did the writing in question.

“In their own write” is just wordplay of the phrase “in their own right”, it has no real meaning other than what the author used it for at the time.

its all a matter of semantics or misspelling i’ll let you decide