Yeah, this is pretty common. If you check your histories you'll find that there are also humans and dwarves that were snatched as children and raised to be goblin-like in goblin towns, some succeeding quite well despite (or because of?) not being goblins.
Heck, looking in the history of my previous fortress' world, I found a dwarven snatcher named Tekkud Swordrooters that snatched other humans, elves, and dwarves for the goblin civilization that she was a part of (she was abducted at age 7). Seriously, she has one successful abduction per year for the 21 years so far that she's been a snatcher. That's 4 humans, 2 elves, and 15 dwarves successfully snatched. By a dwarf.