So I decided to try SE Support one more time to see if there was anything they could do to help. Here is what was SE Support said:

"Please advise that [Mr. Jingles] on [Brynhildr] is essentially [Mister Jingles] on [Phoenix]. Mister Jingles did start out on Exodus and then moved over to Phoenix on 10/02/2013 with a world transfer. Then again, from Phoenix to Brynhildr on 12/01/2014...I looked up Mister Jingles on Phoenix on our end and found that the character is completely deleted, leading this to be a possible bug on the Mog Station end...The best thing to do right now would be to submit a new bug report for this information, that Mog Station is displaying your character twice"

Basically, I am stuck hoping the engineers that manage MogStation/Lodestone will see the bug report and fix the issue. I reported the bug in both the forums and through https://sqex.to/vzc but I am not planning on holding my breath...