Lady Elanor wrote:
In most of the books I have read, when you have a dragon shifter, they were usually born as dragons from an egg (correct me if I'm wrong, I haven't read an enormous amount).
I haven't read anything in which any characters or races are identified as "dragon shifters" (and my browser is telling me that "shifter" is a misspelled word), but of the two works that your question made me think of, neither had the dragon-descendants hatching. The first is the
Dungeons & Dragons role-playing games (or perhaps just the derived-but-much-modified
Pathfinder), which apparently in editions that have come out since I've paid
much attention to details have "dragonborn" races, which seem to be just ordinary humans with a few additional powers. The other was one of the stories in
Kai Lung's Golden Hours, which "reveals" (one is never sure which details of Kai Lung's stories
he believes, and thus the reader is supposed to think are part of the background of Bramah's faux-mythic-China, and which are purely inventions to make the story work) that dragons are powerful beings that can change into literally
any shape, and have children in any such shape, with the sole exception that in every shape a dragon has a tail

.