Intelligence/Emotional Capacity

I have been thinking about this for a couple days now, and yes I understand that there are probably many, many better topics and ways that I could spend my brain power...but this thought has been overtaking my mind. I read a while back that Elephants were capable of dying of broken hearts. Or, like when one of the dogs dies in "Where the Red Fern Grows" after a cougar attack, the other one becomes depressed and dies of a broken heart. Even some birds, such as lovebirds, are said to die because of broken heart syndrome. A few other animals, such as horses, sometimes eat hay and oats constantly until the point of death, as if an intentional suicide.
So this has brought me to think, especially in the case of the elephant, if this capability is a sign of higher intelligence. With elephants, most of us have probably heard that elephants never forget (whatever that is supposed to mean). So, does this gift that they have with advanced memory skills and being able to feel to the point of dying of a broken heart constitute a higher intelligence in these creatures, or does it just mean that they have a higher emotional capacity? Do they go hand in hand? Is "love" an actual thing that can be felt in humans, as well as animals? Or is it a natural hormonal effect of attraction that we are supposed to feel for certain others to ensure that our genes get passed down and our species subside?
To me, at least when I try to think about it, I feel that the emotional capacity may have to go hand in hand, or trunk in trunk, with the amount of intelligence. Especially if the elephant truly never forgets, then maybe after its partner passes away, it gets to remembering their first date together, the first time they went swimming together, or that one time where one of them sunk into a tar pit, only to be saved in time by the other, therefore bringing their relationship to the next level.
If these animals, like most humans, are not able to simply move on and continue in the "circle of life" worrying only about survival, but actually having felt something instead, enough to drive them to the point of physical drain, I believe that it shows that, along with a bigger capacity to feel emotion, they have a stronger intelligence.
Or, heck, maybe "feeling" at all is only a drag and just plain stupidity.
But I'm not doctor.