Just to complicate things a little further.
I've spent most of my life in restoration albeit working with wood but it's the kind of profession where one picks up a lot from other trades.
I've worked at times with Stafford Holmes who is allegedly one of the foremost "experts" concerning lime. When we first heard of him we all thought that it was an organisation like wimpey homes , doh.
Anyway, very small amounts of cement in lime mortar can actually make it weaker. Some builders have added a bit to firm up the mix and make it "set" but it's not the best idea. We have normally used lime putty and have at times added ground brick dust to mixes where colour allows. The brick dust has what is known as a "pozalanic" affect on the mix and acts like cement. Pozalanic comes from Pozula in Italy which I believe is where the romans come up with their volcanic ash based concrete.
Follow the advice about having the mix weaker than the stone and don't let it dry too quickly , it may need a spray over with water periodically.
Should you wish a little light reading then a quick look here may help-
http://www.buildinglimesforum.org.uk/building-with-lime
Pete