I am trying to get sourcemaps to work, when developing firebase functions in typescript.
In my tsconfig.json file a have source maps enabled.
This generated the sourcemaps. I then include this line in my index.ts file: 
import 'source-map-support/register';
And then it seems to work. Is this correct configured, and source-map-support to the projects package.json file?
Yes, you need to do a few things, some of which is documented here:
npm install source-map-support
Enable sourceMap in tsconfig.json (not package.json!) by adding:
  "compilerOptions": {
    "sourceMap": true,
    ...
  },
import 'source-map-support/register'
require('source-map-support').install();
the result would transform this:
TypeError: Cannot read property 'current_location' of null
    at /user_code/lib/http_actions.js:173:74
    at next (native)
    at fulfilled (/user_code/lib/http_actions.js:4:58)
    at process._tickDomainCallback (internal/process/next_tick.js:135:7)
into this:
TypeError: Cannot read property 'current_location' of null
    at /user_code/src/http_actions.ts:183:33
    at next (native)
    at fulfilled (/user_code/lib/http_actions.js:4:58)
    at process._tickDomainCallback (internal/process/next_tick.js:135:7)
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