If the gauge was reading mid temperature, perhaps you didn't have an over heating event. If the air temperature was cool it would be normal for the lower hose to feel cooler.
Check you coolant reservoir level. When the engine is cold the level should be between the min level and middle. If you fill the reservoir too full when cold there is not enough expansion room left in the bottle once the engine comes up to temperature. Normally, that results in the expansion cap venting fluid from the top of the reservoir; but, if your hose clamps on the top rad hose were a little loose it will leak from the path of least resistance.
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