Nomenclature query

Hi all, I have an interesting class of spans I am studying, namely all those whose 'source leg' comes from a particular class J of arrows (this is in a 2-category, in case you are interested). Has this been considered before, and if so, what were they called? If not, I considered using the name 'J-spans', but this doesn't quite sit right with me; without an explanation, this might seem like a span of arrows in J. Any suggestions? Regards, David Roberts [For admin and other information see: http://www.mta.ca/~cat-dist/ ]