Today the strangest thing happened! While I was running all alone from Riverwood to Whiterun, I encountered both the adopted daughters, Sofie and Lucia, running along the road. When talking to them I got a shocked "Mama?" as reaction, offering me the dialogue options to make them stop arguing. I think somehow while leaving the house and fast traveling, Sofie and Lucia were about to start the name-calling event and by traveling to Riverwood they somehow moved along, although hundreds of metres away. Needless to say my character was not happy that they were so far from home, around 1:00 am midnight! Luckily both carried a wooden sword.
Just before I fast-traveled, I got onto a second horse which I then deleted, to stop my first horse from traveling along with me. Maybe all those factors added up conflicted? But it made for a nice roleplay event! Has anyone else had the same problem before?