The answer to this question is yes you can get your own private IP Address. The method to achieve this goal is to visit a VPN service such as www.hidemyass.com. Private IP Addresses are often used by companies that provide Email addresses. Not all Email IP Addresses are private. Many times Internet Service Providers (ISP) and Email providers will pool a large number of IP Addresses, and then float them around as they are needed. These floated, or pooled IP Addresses are not private. One of the problems is that IPS and ESPs (Email Service Providers) are issued a fixed number of IP Addresses. Obtaining a private IP Address can be difficult. IPS and ESP only allocate so many addresses as private. The bulk of their addresses is floated or pooled.
When you check with the VPN or Proxy service, you can ask them if they have private IP Addresses. Sometimes, an ISP will also have private IP Addresses.