Our house has a similar issue, although it was put on a block foundation in 1969 or 70.
I dug down (not as far as you) and put pond liner in a 2foot by 1 foot deep channel, added a bit of crushed bluestone, then a 4" perforated drain pipe, and topped with crushed stone.
While this is probably not the 'true and professional' way a contractor might have done it, I now have an almost bone dry cellar in the areas where I gave this treatment. It also cost me a fraction of what a pro would have charged.
I am a firm believer in the fact that water will take the path of least resistance, so I give it a path where I want it to go.
The stone rim around the trouble spots where the roof drains a lot keeps dirt or mud splash from happening, the crushed stone will not compact, and I have a torrent of rainwater rushing out of the drains AWAY from the house during storms.
Our house is unique in that it was built right next to a large granite ledge which literally sends water right down to the house. In the back, when I built the deck, I built similar drains under the deck in the worst area of all: betweeen the house and the kitchen ell at the bottom of the ledge. This system, I drilled through the foundation and send the water through drain pipes to a drain in the cellar to daylight.
Mind you, my cellar is a rough 10x12 area with heat & water equipment in which you can stand up, the rest is dirt crawl space.
Between these two setups, I easily shed thousands of gallons of water AWAY from the house in a downpour.
I hope this info help in some way.
Whether you think you can, or you think you can't, you are right. - - - Henry Ford