"Did you mean parent object or child property?" in error messsages

Discussed with @RyanCavanaugh from his personal dev experience.

It's common to get an error message when accidentally using an inner property of an object. Similarly, we might forget to actually fetch an inner property of an object.

// @strict: true

interface Person {
  residence: House;
}

interface House {
  isHouseOfPain: boolean;
}

declare let home: House;
declare let person: Person;

   home = person.residence.isHouseOfPain;
// ~~~~
// error: Type 'boolean' is not assignable to type 'House'.

   home = person;
// ~~~~
// error: Property 'isHouseOfPain' is missing in type 'Person' but required in type 'House'.
//   related: 'isHouseOfPain' is declared here.

It'd be nice if we could hint to the user "hey, you might have dotted too far into this object" or "hey, did you mean to grab the residence property?"

No files or tests are named. Start by reproducing the two strict-mode examples in the issue and tracing the TypeScript checker diagnostics they produce. Done means the relevant errors can provide a useful hint about selecting a parent property or accessing a child property, with behavior covered by appropriate tests.