User blog comment:TheCarrotSaysYumYum/Dragons, People and Demons.../@comment-3987368-20120721105325/@comment-3987368-20120722102713

Nah, it makes sense but it just seems a bit improbable that part of the dragon's magic is in them. Though given what happened between Natsu and Laxus, I guess it isn't impossible.

Another explanation could be that the dragons had given things to their "children" which were once theirs. These things were old perhaps. An example could be Natsu's scarf. Though Gajeel's would be a mystery. Damn speculation XD