New ASP.Net Application with Same Project Name?

[Chris]

The scenario:

I am repurposing an existing application for "Project A" on my dev PC with
the solution and project name "web_application" (as an example). I just
joined a new project, Project B, which involves repurposing the same
application. The staging server for Project B has the application
pre-configured with the same solution/project name of "web_application".

I'd like to work on both locally and make periodic updates to their
respective staging servers.

How can I work off of my local dev PC on Project B, even though Project A
with the same name is already configured? In other words, how can Project A
and Project B coexist on the save development PC if they have the same
solution/project file names?

Thanks,
Chris