I'd call it by two names: its material name (breccated jasp/agate) plus its location name (the name of the stream, or a nearby landmark, or something else that makes sense to you) For example, 'Biggs picture jasper' uses that naming convention. That way, you and any future owners know both what it is and where it came from. That seems to be the trend. For many new finds, there simply aren't existing recorded names. I hunt in a new area, so I give my material location names I know and recognize because it helps me remember which specific hill or draw the stuff came from. The more it gets used, the easier it is to track down, find your own old forum posts, or trace photos of what people have done with your material if you trade or sell it.
People who used to rock hunt in my location (60 years ago) called everything by the old ranch name, which is fine until you try to reconstruct locations. Congrats, that ranch is over 100 square miles. Good luck figuring out where anything is in this lifetime. Having a location name tied to a mapped nearby landmark gives future generations a starting point to retrace your steps. So sure, name it after the creek! write it on a card, rubberband it to the rock, and when you dig it back out of the bin 10 years from now you'll know where it came from too.
