Getting the local machine name and IP address is a straight forward process that is most easily accomplished using the TCP component. Simply drop a TCP component from the internet page of the component palette on to a form, and access the following members of the TCP component:

Memo .Lines.Add(TCP .LocalHostName); Memo .Lines.Add(TCP .LocalIp);

If you prefer not to use the TCP component, here is an example that interfaces directly with your winsock layer:

uses Winsock;
procedure TForm .FormCreate(Sender: TObject);
var
  wVersionRequested : WORD;
  wsaData : TWSAData;
begin
 {Start up WinSock}
  wVersionRequested := MAKEWORD( ,  );
  WSAStartup(wVersionRequested, wsaData);
end;
procedure TForm .Button Click(Sender: TObject);
var
  p : PHostEnt;
  s : array[0.. 28] of char;
  p2 : pchar;
begin
 {Get the computer name}
  GetHostName(@s,  28);
  p := GetHostByName(@s);
  Memo .Lines.Add(p^.h_Name);
 {Get the IpAddress}
  p2 := iNet_ntoa(PInAddr(p^.h_addr_list^)^);
  Memo .Lines.Add(p2);
end;
procedure TForm .FormDestroy(Sender: TObject);
begin
 {Shut down WinSock}
  WSACleanup;
end;