Describe what happened: Parent/child debug sessions are not preserved. This is important with our new debugger, as it's one of the banner features.

What was your system configuration?
Product and Version [VS/VSCode]: VS Code, 1.46.0-insider 2020-05-11T10:00:12.459Z
OS Version[macOS/Windows]: Windows_NT x64 10.0.18363
Live Share Extension Version: v1.0.2106
Target Platform or Language [e.g. Node.js]: Node 12

Steps to Reproduce / Scenario:

1. Use the upcoming vscode debugger
2. Debug something
3. Notice the call stack views between parent and child sessions are different

Please attach logs to this issue:

Host logs: I was unable to export host machine logs due to #3516
Guest logs: https://memes.peet.io/img/55b11294-a38b-448e-8fa4-e931c393de3d.zip

Screenshots
If applicable, add screenshots to help explain your problem.

Host machine:

Guest machine: