Naming the non-empty cells of a column as the previous column's values - vba

Question

So what I want is a button that when pressed will automatically name the right hand column cells the left hand column values, my code at the moment looks something like this,
Private Sub CommandButton1_Click()
Range("F3").Name = Range("E3")
Range("F4").Name = Range("E4")
Range("F5").Name = Range("E5")
Range("F6").Name = Range("E6")
End Sub
I'm new to using VBA and have looked around a little but couldn't find what I wanted to achieve. Just want a simple solution which can automatically do what my code already does without having to be specific about cell rows.
I imagine that there will be either a while or for loop to repeat over many rows and an if statement for the code not running if a cell is empty.
Basically I want the command to run something like below but don't quite know how to write it in excel VBA myself.
for j=3:100
if F(j) = non empty
F(j).name = E(j)
else end
next j
end
Image below shows the end result :

Answer 1

From your sample image this looks like it should work.
Option Explicit
Sub name_eff()
Dim rw As Long
With Worksheets("Sheet6")
For rw = 2 To Application.Min(.Cells(.Rows.Count, "E").End(xlUp).Row, _
.Cells(.Rows.Count, "F").End(xlUp).Row)
If Application.CountA(.Cells(rw, "E").Resize(1, 2)) = 2 Then _
.Cells(rw, "F").Name = .Cells(rw, "E").Text
Next rw
End With
End Sub