Index/Match- Lookup 2nd Value if 1st Value is Blank - excel

Question

I was hoping to get some assistance in writing a formula in excel.
I have a table that contains a list of employees and their cell phone number. However, the table is structured in such a way that there is a number of blank and duplicate rows.
Essentially, I am hoping to create a new table without any duplicates and blanks by performing a lookup on the respective cell phone numbers.
The problem is, when I do a standard Index/Match formula, the formula will grab just the first lookup value, which more often than not, is a blank row.
How would I modify this formula to say something like, "Look this value up. If the value is blank, lookup the second value"?
Here is a sample of what the table looks like:
Table 1 (Original)
+---------------+--------------+
| Employee Name | Cell Phone |
+---------------+--------------+
| Doe, John | |
| Doe, John | 111-111-1111 |
| Smith, Eric | 222-222-2222 |
| Jones, Dave | |
| Jones, Dave | 333-333-3333 |
+---------------+--------------+
Table 2 (What I want the table to look like)
+---------------+--------------+
| Employee Name | Cell Phone |
+---------------+--------------+
| Doe, John | 111-111-1111 |
| Smith, Eric | 222-222-2222 |
| Jones, Dave | 333-333-3333 |
+---------------+--------------+
=Index(Table1[Cell Phone], Match([Employee Name], Table1[Employee Name],0))

Answer 1

How about the first non-blank match?
=INDEX(B:B, AGGREGATE(15, 6, ROW($2:$999)/((A$2:A$999=F2)*(B$2:B$999<>"")), 1))
'listobject table alternative
=INDEX(Table1[Cell Phone], AGGREGATE(15, 6, (ROW(Table1[Cell Phone])-ROW(Table1[#Headers]))/((Table1[Employee Name]=F7)*(Table1[Cell Phone]<>"")), 1))