colBoh said:
Yes, because going to the doorstep of the person you'd had a bloody feud with for centuries (and possibly for eternity after that) when you're carrying injured children makes perfect logical sense.
Mokou's been known to take injured people to Eintei when she finds them in the Bamboo Forest. Or, at the very least, guide them there. Given that there's pretty much no real 'bad guy' in Touhou, I think they'd at least keep from fighting near injured people (such as fighting somewhere else after Eirin gets her hands on the patients).