A story from a hundred year ago. How relevant the comments here are to this thread.

... this is the power every ele-gun should possess ..

"This is the power which every elephant-gun should possess: it should have an elephant's head under complete command in every attitude.

The full story.

"My friend Palliser and I were out shooting on the day previous, and we had spent some hours in vainly endeavouring to track up a single bull elephant. I forget what we bagged, but I recollect well that we were unlucky in finding our legitimate game. That night at dinner we heard elephants roaring in the Yallé river,
upon the banks of which our tent was pitched in fine open forest. For about an hour the roaring was continued, apparently on both sides the river, and we immediately surmised that our gentleman friend on our side of the stream was answering the call of the ladies of some herd on the opposite bank. We went to sleep with the intention of waking at dawn of day, and then strolling quietly along with only two gun-bearers each, who were to carry my four double No 10's, while we each carried a single barrel for deer.

The earliest gray tint of morning saw us dressed and ready, the rifles loaded, a preliminary cup of hot chocolate swallowed, and we were off while the forest was still gloomy; the night seemed to hang about it, although the sky was rapidly clearing above.

A noble piece of Nature's handiwork is that same Yallé forest. The river flows sluggishly through its centre in a breadth of perhaps ninety yards, and the immense forest trees extend their giant arms from the high banks above the stream, throwing dark shadows upon its surface, enlivened by the silvery glitter of the fish as they dart against the current. Little glades of rank grass occasionally break the monotony of the dark forest; sandy gullies in deep beds formed by the torrents of the rainy season cut through the rumbling soil and drain toward the river. Thick brushwood now and then forms an opposing barrier, but generally the forest is beautifully open, consisting of towering trees, the leviathans of their race, sheltering the scanty saplings which have spring from their fallen seeds. For a few hundred yards on either side of the river the forest extends in a ribbon-like strip of lofty vegetation in the surrounding sea of low scrubby
jungle. The animals leave the low jungle at night, passing through the forest on their way to the river to bathe and drink; they return to the low and thick jungle at break of day and we hoped to meet some of the satiated elephants on their way to their dense habitations.

We almost made sure of finding our friend of yesterday's trek, and we accordingly kept close to the edge of the river, keeping a sharp eye for tracks upon the sandy bed below.

We had strolled for about a mile along the high bank of the river without seeing a sign of an elephant, when I presently heard a rustle in the branches before me, and upon looking up I saw a lot of monkeys gamboling in the trees. I was carrying my long two-ounce rifle, and I was passing beneath the monkey-covered boughs, when I suddenly observed a young tree of the thickness of a man's thigh shaking violently just before me.

It happened that the jungle was a little thicker in his spot, and at the same moment that I observed the tree shaking almost over me, I passed the immense stem of one of those smooth-barked trees which grow to such an enormous size on the banks of rivers. At the same moment that I passed it I was almost under the trunk of a single bull elephant, who was barking the stem with his tusk as high as he could reach, with his head thrown back. I saw in an instant that the only road to his brain lay through his upper jaw, in the position in which he was standing; and knowing that he would discover me in another moment, I took the eccentric line for his brain, and fired upward through his jaw. He fell stone dead, with the silk patch of the rifle smoking in the wound.

Now in this position no light gun could have killed that elephant; the ball had to pass through the roots of the upper grinders, and keep its course through hard bones and tough membranes for about two feet before it could reach the brain; but the line was all right, and the heavy metal and charge of powder kept the ball to its work.

This is the power which every elephant-gun should possess: it should have an elephant's head under complete command in every attitude."

"Eight Years Wandering in Ceylon" by Samuel W. Baker Chapter 6