The spring marked on the topo South of the junction of the two routes is (I believe) called Mesa Bonita Spring according to former BBNP ranger Eric L.
TWWG Mesa Bonita spring is described in this thread
http://www.bigbendchat.com/portal/forum/hiking-the-desert/upper-smokey-creek-t2668.0.html by BIBEarch as the one just east of Goat Mountain
Quote from: "mule ears"
Has anyone ever walked the drainage that runs just east of Goat Mountain? It runs into Smoky Creek just north of the junction with the Mule Ears trail and looks like an interesting possible route to the Wilson ranch at Blue Creek. The crux looks to be the tight area just west of points 4358 and 3875 were a spring is marked. I am thinking of using it as connector from Mule Ears spring to Blue Creek canyon this winter.
Quote from: Bibearch
Most of the passes through this part of the country were routes taken by cowboys and goat herders. They stayed up on the slopes above the canyon floor though. This route has a nice set of ledges at Mesa Bonita Spring (marked "Spring" on the map) that you will need to skirt around. There's another spring (Goat Mountain Spring) upstream of Mesa Bonita. Some of it's a little brushy & thorny but generally hikeable.