Loop to copy rows and paste into worksheet

i have a spreadsheet/worksheet called "NTH_Alliance" containing rows of related data grouped together under different headings, that are named as different weeks (e.g. Week 5 (26/01/2009 - 1/02/2009), or Week 6 (2/02/2009 - 8/02/2009)).
im writing a macro where the user enters a specific week they wish to see data for (e.g. Week 5 (26/01/2009 - 1/02/2009)), and once the week is found (which can be on any row in the spreadsheet - i.e. not fixed to a specific row number), copy that row and its related rows of data underneath it (which is a dynamic number of rows - it isn't fixed to a specific number of rows), and paste them onto a new worksheet called "Jobs Per Week".
so obviously some kind of loop is required, but im not sure what.
what separates the weeks (i.e. the groups of data) on the worksheet "NTH_Alliance" is a value in column A called "NTH" (short for "NORTH SECTION", which can be on any row in the spreadsheet - i.e. not fixed to a specific row number).
so in the loop, once the next "NTH" value in column A is reached, i need the loop to stop, and copy all of the rows above it - i.e. the rows from "Week 5 (26/01/2009 - 1/02/2009)" all the way down to the row before the next "NTH".

the code i have so far which works is:

Sub test()

'find Week search term in worksheet
Dim FindString As String
Dim Rng As Range
FindString = InputBox("Enter your Search value: Week 5 (26/01/2009 - 1/02/2009)")
If Trim(FindString) <> "" Then
With Sheets("NTH_Alliance").Range("A:Z")
Set Rng = .Find(What:=FindString, _
After:=.Cells(.Cells.Count), _
LookIn:=xlValues, _
LookAt:=xlWhole, _
SearchOrder:=xlByRows, _
SearchDirection:=xlNext, _
MatchCase:=False)
If Not Rng Is Nothing Then
Application.Goto Rng, True
Else
MsgBox "Nothing found"
End If
End With
End If

'copy current row
Dim FoundRow As Integer
FoundRow = ActiveWindow.RangeSelection.Row
Rows(FoundRow).Select
Selection.Copy
Sheets("Jobs Per Week").Select
ActiveSheet.Paste Destination:=Worksheets("Jobs Per Week").Cells(1, 1)

End Sub


i now need a Loop to copy the relevant rows and paste them into worksheet "Jobs Per Week".