The through time ended here, a trail in the dirt. My pursuit had lasted three months, or three centuries if you want to think about it that way. 
It was a seemingly fruitless effort, all could do is sit in my time capsule and ride his wake through the rift. His movement through time was deliberate, much more deliberate than we were capable of. We were only able to shoot for decades. He appeared to be arriving exactly when he needed to, down to the minute. 
There was nothing grandiose about his killings, just a simple gunshot to the chest. He'd do the job, pack up, and leave before I'd even touch down. 
This place was different. Not a city, a hamlet, or even a farm house. This was wild territory, the African Savannah. I didn't know when I was. That's the funny thing about time travel, there's no little gauge giving you the date and time. Figuring that out is part of the detective work.
I surveyed my surroundings: trees, grasses and a setting sun. I followed the trail for several minutes through the grasslands. I didn't expect to find anything but a corpse at the end of it. The trail led me up and over a dirt mound.
"Holy shit," I muttered out loud in disbelief.
There were two figures a couple hundred yards away between two Baobab trees. I began to run down the hill. 
"Hey!" I shouted. This wasn't at all protocol and I was putting myself in danger but I didn't really know what to do in the moment.
I was fifty yards out when the gun went off. I came to a halt. Damn.
I had yet to pull my sidearm, as I came within range of the killer. I could finally make him out. It was bizarre. He was wearing this strange outfit. I think it was something that people used to wear back towards the end of the second millenium. 
"That should do it," he said, partly to himself and partly to me. He didn't seem to concerned to see me there.
"Drop the weapon!" I commanded as I walked slowly towards him. I pulled out my side arm.
"No worries," he replied calmly.    He placed his revolver on the ground. 

His victim lay clutching his stomach. He must have been thrown off by my arrival and rushed to get his shot off. The victim wore a tattered loin cloth, a spear lay by his side. He winced in agony. He must have thought he had just been struck down by a god. I would call his victim a man, but I feel that 'Male Homo Erectus' is a more accurate description. "Well, I hope that does the trick," he said glancing up from the mortally wounded cave man. "Th-the trick?" I gasped. I was out of breath, mostly from the shock. "I've been working my way up the chain trying to put an end to our meddling in time travel," He explained to me. The cave man was fading fast, he seemed like he would pass any second. He continued, "I'm trying to put an end to the inventorship. I believe I was the first inventor, when I died I burn all of my documents. Somehow, my distant relatives way down the line always manage to reinvent it. I guess it's something in our shared DNA, who knows. Whenever I would kill one inventor, another would spring up. So I traced the lineage down to this poor chap. I didn't want to have to go this far back. It's going to cause a massive disruption in the future, but I had no choice." I was frozen in the moment. I hung on his every word. Before I could even formulate a sentence he continued. "Have you been to the future? Have you worked that out yet? I can assure you that it is not good. Whenever you or your great uncle or your grand niece or whomever figures it out the human race will be done for. That's why I'm doing this." "Worked it out? I'm just an employee," I told him. The cave man's eyes began to roll back in his head. His breathing began to slow. His eyebrows lifted, "Oh well, I'll see--" "Honey..." I rolled in my bed, to see my wife in the doorway. She looked beautiful. "Wake up honey you have to take the kids to their soccer games."