Questo progetto vb (scaricato da internet ma non ricordo la fonte) permette di visualizzare proprio il nome del pc e relativo IP Address. Metti nel form 3 label(label1-2-3) ; 2 textbox(textbox1-2) e un command(cmdGetMachineID).

Codice del form:
codice:
Private Const MAX_WSADescription As Long = 256
Private Const MAX_WSASYSStatus As Long = 128
Private Const ERROR_SUCCESS As Long = 0
Private Const WS_VERSION_REQD As Long = &H101
Private Const WS_VERSION_MAJOR As Long = WS_VERSION_REQD \ &H100 And &HFF&
Private Const WS_VERSION_MINOR As Long = WS_VERSION_REQD And &HFF&
Private Const MIN_SOCKETS_REQD As Long = 1
Private Const SOCKET_ERROR As Long = -1

Private Type HOSTENT
   hName      As Long
   hAliases   As Long
   hAddrType  As Integer
   hLen       As Integer
   hAddrList  As Long
End Type

Private Type WSADATA
   wVersion      As Integer
   wHighVersion  As Integer
   szDescription(0 To MAX_WSADescription) As Byte
   szSystemStatus(0 To MAX_WSASYSStatus) As Byte
   wMaxSockets   As Integer
   wMaxUDPDG     As Integer
   dwVendorInfo  As Long
End Type


Private Declare Function WSAGetLastError Lib "WSOCK32.DLL" () As Long
Private Declare Function WSAStartup Lib "WSOCK32.DLL" (ByVal wVersionRequired As Long, lpWSADATA As WSADATA) As Long
Private Declare Function WSACleanup Lib "WSOCK32.DLL" () As Long
Private Declare Function GetHostName Lib "WSOCK32.DLL" Alias "gethostname" (ByVal szHost As String, ByVal dwHostLen As Long) As Long
Private Declare Function GetHostByName Lib "WSOCK32.DLL" Alias "gethostbyname" (ByVal szHost As String) As Long

Private Declare Sub CopyMemory Lib "Kernel32.dll" Alias "RtlMoveMemory" (hpvDest As Any, ByVal hpvSource As Long, ByVal cbCopy As Long)


Private Sub cmdGetMachineID_Click()
    'Recupera le informazioni sulla macchina.
    Text1.Text = GetIPHostName
    Text2.Text = GetIPAddress
    'Se l'indirizzo IP della macchina è "127.0.0.1", significa che il computer non è collegato alla rete; viceversa, il sitema è online.
    If Text2.Text = "127.0.0.1" Then Label3.Caption = "Il computer non è collegato alla rete" Else Label3.Caption = "Il computer è collegato alla rete"
End Sub
Private Function GetIPAddress() As String
    Dim sHostName As String * 256
    Dim lpHost As Long
    Dim HOST As HOSTENT
    Dim dwIPAddr As Long
    Dim tmpIPAddr() As Byte
    Dim i As Integer
    Dim sIPAddr  As String
    If Not SocketsInitialize() Then
        GetIPAddress = ""
        Exit Function
    End If
    
    If GetHostName(sHostName, 256) = SOCKET_ERROR Then
        GetIPAddress = ""
        MsgBox "Errore del Socket di Windows numero " & Str$(WSAGetLastError()) & ". Impossibile recuperare il nome dell'host.", vbExclamation, Me.Caption
        SocketsCleanup
        Exit Function
    End If
    
    sHostName = Trim$(sHostName)
    lpHost = GetHostByName(sHostName)
    If lpHost = 0 Then
        GetIPAddress = ""
        MsgBox "Errore del Socket di Windows. Impossibile recuperare il nome dell'host.", vbExclamation, Me.Caption
      SocketsCleanup
      Exit Function
   End If
    'To extract the returned IP address, we have to copy
    'the HOST structure and its members.
    CopyMemory HOST, lpHost, Len(HOST)
    CopyMemory dwIPAddr, HOST.hAddrList, 4
    'Create an array to hold the result.
    ReDim tmpIPAddr(1 To HOST.hLen)
    CopyMemory tmpIPAddr(1), dwIPAddr, HOST.hLen
    'With the array, build the actual address,
    'appending a period between members.
    For i = 1 To HOST.hLen
        sIPAddr = sIPAddr & tmpIPAddr(i) & "."
    Next i
    'The routine adds a period to the end of the
    'string, so remove it here.
    GetIPAddress = Mid$(sIPAddr, 1, Len(sIPAddr) - 1)
    SocketsCleanup
End Function


Private Function GetIPHostName() As String
    Dim sHostName As String * 256
    If Not SocketsInitialize() Then
        GetIPHostName = ""
        Exit Function
    End If
    If GetHostName(sHostName, 256) = SOCKET_ERROR Then
        GetIPHostName = ""
        MsgBox "Errore del Socket di Windows numero " & Str$(WSAGetLastError()) & ". Impossibile recuperare il nome dell'host.", vbExclamation, Me.Caption
        SocketsCleanup
        Exit Function
    End If
    GetIPHostName = Left$(sHostName, InStr(sHostName, Chr(0)) - 1)
    SocketsCleanup
End Function


Private Function HiByte(ByVal wParam As Integer) As Integer
    Dim tmp As Integer
    tmp = wParam \ &H100
    HiByte = tmp And &HFF&
End Function


Private Function LoByte(ByVal wParam As Integer) As Integer
    LoByte = wParam And &HFF&
End Function


Private Sub SocketsCleanup()
    If WSACleanup() <> ERROR_SUCCESS Then
        MsgBox "Errore del Socket.", vbExclamation, Me.Caption
    End If
End Sub

Private Function SocketsInitialize() As Boolean
    Dim WSAD As WSADATA
    Dim sLoByte As String
    Dim sHiByte As String
    If WSAStartup(WS_VERSION_REQD, WSAD) <> ERROR_SUCCESS Then
        MsgBox "Il Socket di Windows a 32 bit non risponde correttamente.", vbExclamation, Me.Caption
        SocketsInitialize = False
        Exit Function
    End If
    If WSAD.wMaxSockets < MIN_SOCKETS_REQD Then
        MsgBox "Questa applicazione richiede almeno " & CStr(MIN_SOCKETS_REQD) & " sockets supportati.", vbExclamation, Me.Caption
        SocketsInitialize = False
        Exit Function
    End If
    If LoByte(WSAD.wVersion) < WS_VERSION_MAJOR Or (LoByte(WSAD.wVersion) = WS_VERSION_MAJOR And HiByte(WSAD.wVersion) < WS_VERSION_MINOR) Then
        sHiByte = CStr(HiByte(WSAD.wVersion))
        sLoByte = CStr(LoByte(WSAD.wVersion))
        MsgBox "La versione del Socket " & sLoByte & "." & sHiByte & " non è supportata dal Socket di Windows a 32 bit.", vbExclamation, Me.Caption
        SocketsInitialize = False
        Exit Function
    End If
    'La procedura è terminata correttamente.
    SocketsInitialize = True
End Function

Private Sub Form_Load()
    cmdGetMachineID_Click
End Sub