Thats essentially correct. The first row and the first column are always representative of the male or female and the combinations of genes they can pass on. So as you said the first cloum is representative of the genes the pied bird could pass on. He/she could pas a pied gene or a white gene thus the two rows. The silver pied bird can pas a pied or white even as well and under in case will pass a white eye gene as well (assuming we have been correct here).
First column running up and down W and P stands for White and Pied this is a genetic representation of "Pied" (carrying 1 white gene and 1 pied gene) This is the Pied parent.
Across the top running left to right W/WESP and P/WESP this is the genetic representation of "Silver Pied"( carrying 1 white gene and 1 pied gene as well as 2 White Eye genes that have the "special something silver dust making magic ingredient=SP) This is the Silver Pied Parent.
All the remaining squares are showing what possible offspring you could get from this pairing. This amounts to 25% white(W/W/WESP)carrying WE and the magic silver ingredient SP, 50% Silver Pied(W/P/WESP) and lastly 25% Dark Pied White Eye(P/P/WESP) carrying the magic silver ingredient SP as well.
Least I think that's how it reads!
I am really confused, I think you both are saying that the column on the left side, the W and P are the parents of the bird being bred. And the top row are the parents of the other bird being bred. And four boxes under and to the right are the possible offspring?