Seems to me this is simply an Introduce Variable refactoring. Visual Studio doesn't have this refactoring built in; but may other add-ons do. If you don't want a paid solution, then the refactoring consists of copy/paste then adding a variable and using it.
To do this in Resharper (with the Visual Studio keyboard scheme), simple select where you instantiate the Person (e.g. new Person { Name = "Alicia", Age = 33 }
) and press Ctrl+R,V.