Searching two columns and displaying a third

Hello,
Hello everyone...quick question...I need a formula to search data from two columns and find the single row which matches the specified criteria for both columns...once the match is found... display value found in third column.

Example: Columns A, B, and C contain the data I'm looking for. Find the Row in Column A which matches the Animal (found in Cell F1) and the Color (found in Column D)...when it finds the one row which matches both criteria, return the corresponding name in column C to Column E.

So for the first search, a Red (D1) Cat ($F$1), it searches Column A for a match to F1 and Column B for a match to D1 (there will always be exactly one row which matches btw). Once the row is found (row 4), it will place the value of C4 into E1.

Next, a White (D2) Cat ($F$1), it searches Column A for a match to F1 and Column B for a match to D2. Once the row is found (row 3), it will place the value of C3 into E2.

I really hope I explained this well enough. Thank you in advance for any and all help!

--------------A------------B---------------C----------------D---------------E----------------F------------
1------------Cat---------Brown-------Alex-----------Red-----------David---------Cat
2------------Cat---------Black---------Brian---------White--------Charles
3------------Cat---------White--------Charles------Black--------Brian
4------------Cat---------Red-----------David---------Red-----------David
5------------Bird--------Brown-------Edward------Brown
6------------Bird--------Black--------Frank---------White
7------------Bird--------Red----------George-------Brown
8------------Bird--------White--------Henry--------Black