It's called English Descriptive notation, and was commonly used in the US until the later part of the last century. You can learn about it here.
Common Sense in Chess -Emanuel Lasker

Every file has a name:
QR (Queen Rook), QKt, QB, Q, K, KB, KKt KR.
Every Rank is counted from the perspective of the player whose move it is.
If there is any ambiguity, extrra information is included, either the rank or the file of the moving piece. Not too hard to figure out, in the good old days we all learnt this way :)
This book is causig me a bit of trouble as it does not follow standard notation for moving pieces since it was made in the early 1900's. Help?
Here's en example:
White Black
P-K4 P-K4 (obviously he's talking about pushing king pawn)
Kt-KB3 P-Q3
B-B4 P-KR3
Can anyone help me? I'm finding this book very interesting, but at the moment this is kind of a road block for me. I know how to read standard recording, but this older version is still getting me a little tungue tied. I may most the whole game. Does anyone know of some kind of key I can look up?