The best I could find for a name for the Philmont Bull is Black Bull - but that could also just be a description of the patch.
The BSA insignia guide does say which patches are equipment patches (Paul Bunyan, 50-Miler, Historic Trails, Council High Adventure Base patches), which are to be sewn on swimsuits (mile swim, BSA Lifeguard, etc.) and which patches can be worn on uniforms (pretty much everything else - though the did miss saying where the Outdoor Ethics and National Outdoor Award patches can go - something they should correct since they were pretty specific about all the other one