This is why I never use the zerk fitting to grease my trailer's wheel bearings. You have very little control over where the grease ends up or how much is needed. It's way too easy to get carried away and overfill the hub cavity, forcing the excess grease out thru the grease seal into the brakes.
Call me old fashioned, but I prefer to grease wheel bearings by hand, just like it has been done on cars & trucks for the past one hundred years or so. This method has the added advantage of being able to inspect the condition of the bearings and races.