Use this code -
Option Explicit
Dim WeeklyFN As String
Dim MainFN As String
Dim MFile As String
Dim lrow As Long
Dim sfield As String
Dim cellcol As Long
Dim i As Long
Dim lastrow As Long
Dim c As Object

Sub find_cols()

MFile = ActiveWorkbook.Name
Application.ScreenUpdating = False
proceed:
WeeklyFN = Application.GetOpenFilename(FileFilter:="All files (*.*), *.*", Title:="Please open the Weekly file")
If WeeklyFN = "" Then
    MsgBox "You have not selected a file."
    GoTo proceed
Else
    Workbooks.Open Filename:=WeeklyFN
    WeeklyFN = ActiveWorkbook.Name
End If

proceed1:
MainFN = Application.GetOpenFilename(FileFilter:="All files (*.*), *.*", Title:="Please open the Main file")
If MainFN = "" Then
    MsgBox "You have not selected a file."
    GoTo proceed1
Else
    Workbooks.Open Filename:=MainFN
    MainFN = ActiveWorkbook.Name
End If

Workbooks(MFile).Worksheets("Sheet1").Columns("A:A").Delete
Workbooks(WeeklyFN).Worksheets("Sheet1").Rows("1:1").Copy
Workbooks(MFile).Worksheets("Sheet1").Range("A1").PasteSpecial Paste:=xlPasteValues, Operation:=xlNone, SkipBlanks _
        :=False, Transpose:=True
Application.CutCopyMode = False

lrow = Workbooks(MFile).Worksheets("Sheet1").Range("A" & Rows.Count).End(xlUp).Row

For i = 1 To lrow
    sfield = Workbooks(MFile).Worksheets("Sheet1").Range("A" & i).Value
    
    Workbooks(MainFN).Worksheets("Sheet1").Range("A2").Select
    On Error Resume Next
    Workbooks(MainFN).Worksheets("Sheet1").Rows("1:1").Find(What:=sfield, After:=Range("A1"), LookIn:=xlValues, Lookat:=xlPart, SearchOrder:=xlByRows, _
        SearchDirection:=xlNext, MatchCase:=False, searchformat:=False).Activate
    On Error GoTo 0
    cellcol = ActiveCell.Column
    
    lastrow = Workbooks(WeeklyFN).Worksheets("Sheet1").Range("A" & Rows.Count).End(xlUp).Row
    With Workbooks(WeeklyFN).Worksheets("Sheet1")
        .Range(.Cells(2, i), .Cells(lastrow, i)).Copy Workbooks(MainFN).Worksheets("Sheet1").Cells(2, cellcol)
    End With
       
    Application.CutCopyMode = False
Next i

End Sub
Just for your information - i didnt find the "Branch" field in the Excel Spreadsheet. There could be a few more like that but the code ignores them. Try this code and let me know if the fields have been copied properly. You are the best judge of that.