To avoid confusion, in a Shared Services environment, there is one and only one Parent portal site (see attached slide from my Shared Services TechEd talk @ http://www.parallelspace.net/knowledge/). All of the other portal sites in a Shared Services enabled portal farm are Child portal sites. This is consistent with the SPS formal documentation. Checkout the About Shared Services topic in the SharePoint Portal Server 2003 Administrator's Guide (mk:@MSITStore:C:\SharepointPSAdmin.chm::/html/AboutSharedServices.htm assuming C:\SharepointPSAdmin.chm is the path to your online help file).
If you want to be more precise, you can refer to the Shared Server Parent portal site as the Shared Services Provider portal site and the Child portal sites as Shared Services Consumer portal sites.
Formally, My Sites is not a Shared Service. It is best to think of My Sites as an ITB (in-the-box) portal feature or portal application (like News, for example).