Either/Or
What I can't for the life of me figure out is, how did she come to think this? She must have heard other people using the word "specific". Does she think they're all wrong? Does she think there are two ways to pronounce it? Or does she just not register that she's doing it?
If you need further proof that it's at least a relatively common error, you could look here, which is the "oh, and another thing" page for the exceedingly useful Common Errors in English site.
Howsomever.
I couldn't help but notice that one of the errors listed on the supplemental page is the use of "abolishment" where "abolition" is presumably meant. The problem is, "abolishment" is an entirely correct word, unimpeachably English; in fact, it's just about exactly as old as "abolition", as both date from the early 16th century. (The same is true of "admonition" and "admonishment"; both correct English, both very old, both about the same age--and even older than "abolishment", with "admonishment" dating from 1300.)
Saying something is wrong in English can be a judgement call. It's the opinion of the page's author that "howsomever" is flat-out wrong, though it's dialectical and well-established; he's welcome to his opinion, with which I disagree. But to say that "abolishment" is wrong is, well, wrong.