Can you inherit a sub new (Constructor) with parameters in VB?

In the code below I receive the compile error

Error Too many arguments to 'Public Sub New()'

on the Dim TestChild As ChildClass = New ChildClass("c"). I do not receive it on TestChild.Method1() even though they are both on the base class I am inheriting from.

Public Class BaseClass
    Public ReadOnly Text As String
    Public Sub New(ByVal SetText As String)
        Text = SetText
    End Sub
    Public Sub New()
        Text = ""
    End Sub
End Class

Public Class ChildClass
    Inherits BaseClass
End Class

Public Class TestClass
    Sub Test()
        Dim TestChild As ChildClass = New ChildClass("c")
        TestChild.Method1()
    End Sub
End Class

I could change the child class to:

Public Class ChildClass
    Inherits BaseClass
      Public Sub New (ByVal SetText As String)
      MyBase.New(SetText)
    End Class
End Class

As suggested below but I do not have to do that for Method 1 or other inherited methods and I am looking for the cleanest code possible. This may be a limitation in the system with inheriting parameterized New statements but I can not find it documented anywhere. If it is required then I would like to see the documentation.