Observe the given word grid and find the names of 10 different wool-yielding animals. Write them down.

\begin{tabular}{|l|l|l|l|l|l|l|l|l|l|}
\hline P & A & T & A & N & W & A & D & I \\
\hline M & A & O & E & D & C & M & B & A \\
\hline A & L & S & A & C & A & B & A & L \\
\hline R & P & T & N & A & L & I & K & N \\
\hline W & A & C & G & S & L & J & H & P \\
\hline A & C & A & O & H & A & K & A & R \\
\hline R & A & F & R & M & M & C & R & I \\
\hline I & U & G & A & E & A & I & A & V \\
\hline W & Y & Z & B & R & D & J & W & X \\
\hline L & O & H & I & E & K & L & A & H \\
\hline A & Y & A & K & B & G & F & L & E \\
\hline
\end{tabular}

To solve the problem of finding the names of 10 different wool-yielding animals hidden within the given word grid, we should carefully examine the grid for the presence of these animals both horizontally and vertically, and also diagonally in both directions. The animals we will be looking for are: alpaca, sheep, lamb, angora, cashmere, llama, camel, vicuna, rabbit, goat.

Here is the step-by-step solution:

1. Preparation: Our list of wool-yielding animals includes: "ALPACA," "SHEEP," "LAMB," "ANGORA," "CASHMERE," "LLAMA," "CAMEL," "VICUNA," "RABBIT," "GOAT."

2. Horizontal and Vertical Search:

- Check each row for horizontal sequence and check each column for vertical sequence.

3. Diagonal Search:

- Check diagonally from top-left to bottom-right and from top-right to bottom-left.

Let's now search the grid systematically:

### 1. ALPACA

- We find "ALPACA" in the grid at position (1,1) horizontally.
- Sequence: A, L, P, A, C, A
- Starting position: Second row, second column (1,1)

### 2. ANGORA

- Located at (2, 3) diagonally from top-left to bottom-right.
- Sequence: A, N, G, O, R, A
- Starting position: Third row, fourth column (2,3)

### 3. CASHMERE

- Found at (2, 4) vertically.
- Sequence: C, A, S, H, M, E, R, E
- Starting position: Third row, fifth column (2,4)

### 4. LLAMA

- Found at (3, 5) horizontally.
- Sequence: L, L, A, M, A
- Starting position: Fourth row, sixth column (3,5)

### Conclusion

From our observations, the names of the wool-yielding animals found in the grid with their corresponding positions are:
- ALPACA: Found horizontally starting at (1,1)
- ANGORA: Found diagonally from top-left to bottom-right starting at (2,3)
- CASHMERE: Found vertically starting at (2,4)
- LLAMA: Found horizontally starting at (3,5)

This process reveals these animals in specific positions within the grid. These are the animals whose locations we explicitly identified. The remaining animals are not visible within the observable grid boundaries through simple searches, which imply they may not be present or are obscured in less obvious patterns.