Its just marking its territory
when you say left side is it down low below the water pump or above the left front of the transmission. Check the hoses on the thermostat housing especially the little one. And at 12 Oclock right above the thermostat housing is a bleeder bolt make sure it is not loose in the old days it had a copper washer behind it like the bleeder on the water pump. that bolt is the highest water access on the engine. you can check the top hose on the radiator from the right front with a long screw driver. the other end is on the water pump. Also on the right side lower corner right inside the mesh grill you will see where the other end of the little lower hose you first checked on the thermostat housing. Any problems and I will try to get a picture or two off my bike to help you but besides what I listed the only others are the two large hoses on the pump one on the radiator and the other to a flanged fit in the top right front of the radiator. which is probably the hardest to see but the easiest to foll from since there is only two off the pump.