I’ve had 3 sets of triplets so far. The first was rather early on, in my “Pixar character” name house. Two girls and a boy; Eve, Merida, and Buzz.
Then, much much later, I ended up having two sets born very close together. The first were all girls, born into the “astronomy/space terms” house; Celestial, Eclipse, and Aurora. (They also ended up looking so similar that I had to color code them through their whole childhood.)
Then, two houses later, my “Star Wars” house also had triplets. (Interestingly, their mom and the dad of the previous set are twins themselves, so the triplets are also all first cousins.) This is where the game’s method of naming babies got…frustrating. This house also ended up having two girls and a boy, but of course the game couldn’t tell me that all at once-so I ended up with Finn, Rey, and Padme-the odd one out since I was really, really not expecting another set of triplets so soon as was thrown for a loop. Otherwise I would have tried to pick 3 names from the same era.