Index: exec.c
===================================================================
--- exec.c	(revision 2200)
+++ exec.c	(working copy)
@@ -579,6 +579,9 @@ section_table_xfer_memory_partial (gdb_b
     {
       if (section_name && strcmp (section_name, p->the_bfd_section->name) != 0)
 	continue;		/* not the section we need */
+      /* core specific sections never satisfy, unless named. */
+      if (section_name == NULL && strchr (p->the_bfd_section->name, '/'))
+	continue;
       if (memaddr >= p->addr)
         {
 	  if (memend <= p->endaddr)
Index: corelow.c
===================================================================
--- corelow.c	(revision 2206)
+++ corelow.c	(working copy)
@@ -627,14 +627,64 @@ core_xfer_partial (struct target_ops *op
 		   const char *annex, gdb_byte *readbuf,
 		   const gdb_byte *writebuf, ULONGEST offset, LONGEST len)
 {
+  LONGEST r;
   switch (object)
     {
     case TARGET_OBJECT_MEMORY:
-      return section_table_xfer_memory_partial (readbuf, writebuf,
-						offset, len,
-						core_data->sections,
-						core_data->sections_end,
-						NULL);
+      r = section_table_xfer_memory_partial (readbuf, writebuf,
+					     offset, len,
+					     core_data->sections,
+					     core_data->sections_end,
+					     NULL);
+      if (r)
+	return r;
+      {
+	struct target_section *p;
+	ULONGEST memaddr = offset;
+	for (p = core_data->sections; p < core_data->sections_end; p++)
+	  {
+	    char *tid;
+	    int thread_id;
+	    ptid_t ptid;
+
+	    /* Weed out sections with addresses that don't include the
+	       address we are looking for.  */
+	    if (memaddr < p->addr)
+	      continue;
+	    if (memaddr > p->endaddr)
+	      continue;
+	    tid=strchr (p->the_bfd_section->name, '/');
+
+	    /* Weed out sections that are not core specific.  */
+	    if (tid == 0)
+	      continue;
+
+	    /* Figure out the thread for the section, and see if that
+	       thread is the current thread.  */
+	    thread_id = atoi (tid+1);
+
+	    if (core_gdbarch
+		&& gdbarch_core_reg_section_encodes_pid (core_gdbarch))
+	      {
+		uint32_t merged_pid = thread_id;
+		ptid = ptid_build (merged_pid & 0xffff,
+				   merged_pid >> 16, 0);
+	      }
+	    else
+	      ptid = ptid_build (ptid_get_pid (inferior_ptid), thread_id, 0);
+
+	    if (! ptid_equal (inferior_ptid, ptid))
+	      /* The current thread isn't the one encoded by the
+		 section, skip it.  */
+	      continue;
+	    return section_table_xfer_memory_partial (readbuf, writebuf,
+						      offset, len,
+						      core_data->sections,
+						      core_data->sections_end,
+						      p->the_bfd_section->name);
+	  }
+      }
+      return r;
 
     case TARGET_OBJECT_AUXV:
       if (readbuf)