diff --git a/ChangeLog b/ChangeLog
index 29796ed01..add2ad6a5 100644
--- a/ChangeLog
+++ b/ChangeLog
@@ -1,5 +1,9 @@
 2016-09-16  Peter Stephenson  <p.stephenson@samsung.com>
 
+	* 39359: Src/exec.c, Src/jobs.c, Src/signals.c: Further fix on
+	top of 39331 for remaining race.  Ensure process group of forked
+	superjob is sane.
+
 	* 39331: Src/exec.c, Src/jobs.c, Src/zsh.h: Partially fix problem
 	occurring when a subjop in the RHS of a pipeline needs to be
 	picked up by a forked zsh after ^Z when the original superjob
diff --git a/Src/exec.c b/Src/exec.c
index 21270c82d..0755d55cd 100644
--- a/Src/exec.c
+++ b/Src/exec.c
@@ -1652,7 +1652,13 @@ execpline(Estate state, wordcode slcode, int how, int last1)
 		    int synch[2];
 		    struct timeval bgtime;
 
+		    /*
+		     * A pipeline with the shell handling the right
+		     * hand side was stopped.  We'll fork to allow
+		     * it to continue.
+		     */
 		    if (pipe(synch) < 0 || (pid = zfork(&bgtime)) == -1) {
+			/* Failure */
 			if (pid < 0) {
 			    close(synch[0]);
 			    close(synch[1]);
@@ -1666,6 +1672,18 @@ execpline(Estate state, wordcode slcode, int how, int last1)
 			thisjob = newjob;
 		    }
 		    else if (pid) {
+			/*
+			 * Parent: job control is here.  If the job
+			 * started for the RHS of the pipeline is still
+			 * around, then its a SUBJOB and the job for
+			 * earlier parts of the pipeeline is its SUPERJOB.
+			 * The newly forked shell isn't recorded as a
+			 * separate job here, just as list_pipe_pid.
+			 * If the superjob exits (it may already have
+			 * done so, see child branch below), we'll use
+			 * list_pipe_pid to form the basis of a
+			 * replacement job --- see SUBLEADER code above.
+			 */
 			char dummy;
 
 			lpforked =
@@ -1692,9 +1710,33 @@ execpline(Estate state, wordcode slcode, int how, int last1)
 			break;
 		    }
 		    else {
+			Job pjn = jobtab + list_pipe_job;
 			close(synch[0]);
 			entersubsh(ESUB_ASYNC);
-			if (jobtab[list_pipe_job].procs) {
+			/*
+			 * At this point, we used to attach this process
+			 * to the process group of list_pipe_job (the
+			 * new superjob) any time that was still available.
+			 * That caused problems when the fork happened
+			 * early enough that the subjob is in that
+			 * process group, since then we will stop this
+			 * job when we signal the subjob, and we have
+			 * no way here to know that we shouldn't also
+			 * send STOP to itself, resulting in two stops.
+			 * So don't do that if the original
+			 * list_pipe_job has exited.
+			 *
+			 * The choice here needs to match the assumption
+			 * made when handling SUBLEADER above that the
+			 * process group is our own PID.  I'm not sure
+			 * if there's a potential race for that.  But
+			 * setting up a new process group if the
+			 * superjob is still functioning seems the wrong
+			 * thing to do.
+			 */
+			if (pjn->procs &&
+			    (pjn->stat & STAT_INUSE) &&
+			    !(pjn->stat & STAT_DONE)) {
 			    if (setpgrp(0L, mypgrp = jobtab[list_pipe_job].gleader)
 				== -1) {
 				setpgrp(0L, mypgrp = getpid());
diff --git a/Src/jobs.c b/Src/jobs.c
index 9284c7124..d1b98ac4d 100644
--- a/Src/jobs.c
+++ b/Src/jobs.c
@@ -232,11 +232,12 @@ super_job(int sub)
 static int
 handle_sub(int job, int fg)
 {
+    /* job: superjob; sj: subjob. */
     Job jn = jobtab + job, sj = jobtab + jn->other;
 
     if ((sj->stat & STAT_DONE) || (!sj->procs && !sj->auxprocs)) {
 	struct process *p;
-		    
+
 	for (p = sj->procs; p; p = p->next) {
 	    if (WIFSIGNALED(p->status)) {
 		if (jn->gleader != mypgrp && jn->procs->next)
diff --git a/Src/signals.c b/Src/signals.c
index 2eefc07de..30dde713f 100644
--- a/Src/signals.c
+++ b/Src/signals.c
@@ -723,7 +723,7 @@ killjb(Job jn, int sig)
 {
     Process pn;
     int err = 0;
- 
+
     if (jobbing) {
         if (jn->stat & STAT_SUPERJOB) {
             if (sig == SIGCONT) {
@@ -731,11 +731,21 @@ killjb(Job jn, int sig)
                     if (killpg(pn->pid, sig) == -1)
 			if (kill(pn->pid, sig) == -1 && errno != ESRCH)
 			    err = -1;
- 
+
+		/*
+		 * Note this does not kill the last process,
+		 * which is assumed to be the one controlling the
+		 * subjob, i.e. the forked zsh that was originally
+		 * list_pipe_pid...
+		 */
                 for (pn = jn->procs; pn->next; pn = pn->next)
                     if (kill(pn->pid, sig) == -1 && errno != ESRCH)
 			err = -1;
 
+		/*
+		 * ...we only continue that once the external processes
+		 * currently associated with the subjob are finished.
+		 */
 		if (!jobtab[jn->other].procs && pn)
 		    if (kill(pn->pid, sig) == -1 && errno != ESRCH)
 			err = -1;
@@ -744,7 +754,7 @@ killjb(Job jn, int sig)
             }
             if (killpg(jobtab[jn->other].gleader, sig) == -1 && errno != ESRCH)
 		err = -1;
-		
+
 	    if (killpg(jn->gleader, sig) == -1 && errno != ESRCH)
 		err = -1;