What research has investigated: stuttering recovery in children who live separately from their stuttering parent versus living together with them?

What research has investigated: stuttering recovery in children who live separately from their stuttering parent versus living together with them? Is there any research on "*investigating if stuttering recovery in children occurs more often when a child lives separately from their stuttering parent versus living together with them*"? **Goal**: The goal (of such research) could be to understand the relationship of environmental/epigenetic factors contributing to (1) stuttering onset, or (2) stuttering recovery versus persistence. For example, let's take the following hypothetical research finding: If stuttering recovery would truly occur more often when a child lives separately from their stuttering parent, then it might indicate a strong epigenetic factor.. for example: (A) it could imply that: copying the protection-defensive mechanism of a stuttering parent, might contribute to (1) stuttering onset, or (2) recovery vs persistance (B) it could imply that: (1) stuttering onset, or (2) persistence, might be strongly contributed to copying stutter behavior from the parent, such as these behaviors: (1) making negative evaluations of one's speech performance (2) evaluating speech errors as bad (3) fearing making errors (4) associating environmental factors with stuttering, rather than with excellence and success (5) beating oneself up over speech errors (6) immersing oneself in, reacting to and justifying "intolerance" for the sensation of loss of control