VLOOKUP - Possibility of using a negative Col_index_num?

I have this workbook with two worksheets, Sheet1 and Sheet 2. On
Sheet1, the user would enter dates on I11:J16. The corresponding names
for the dates are located on A11:B16 (merged cell)

On Sheet2, column A is a list of dates. I'd like for the formula to
look at dates on Sheet 2, column A. If any of the dates on Sheet2 -
Column A match on Sheet1 I11:J16, on the matching row of Sheet1, take
the information from A11:B16 (merged cell) and place it into Sheet2,
Column B.

For example, on Sheet 1, there is a value of Feb 2 on I11. If Feb 2 is
found in any row of Sheet 2 - Column A (say A6), I'd like to take the
corresponding text on Sheet1 - A11, and place it in Sheet 2, B6.

What is the best way to solve this issue?