I\'m using Django\'s TabularInline admin view to edit category objects related to a main topic object, as shown here:
        
In case anyone is looking to hide the header on a StackedInline, I used Rick´s approach but adding this css:
div.inline-related h3{
   visibility: hidden;
   height: 0;
}
You could use css to hide the paragraph
I thought I'd chime in that editing your template is going to be the easiest.
I tried iterating over the formsets in render_change_form but unfortunately, the major problem is that InlineAdminForms are constructed dynamically upon iteration in the template so you can't just set inlineadminform.original = None or modify the context.
They don't even exist until assigned a variable in the template.
# InlineAdminFormset
def __iter__(self):
    for form, original in zip(self.formset.initial_forms, self.formset.get_queryset()):
        yield InlineAdminForm(self.formset, form, self.fieldsets,
            self.opts.prepopulated_fields, original, self.readonly_fields,
            model_admin=self.model_admin)
and the only easily non-hackishly accessible hook we have there is overriding InlineAdminFormset.formset.get_queryset() which breaks other things. 
Can I share some code nobody should ever really look at but works and makes me crack up laughing? I owe you one payne. Hope I can get to sleep tonight.
I took a slightly different approach. It's a little hackish. This replaces the "original" string with a blank string, so the td for class=original still gets rendered leaving a gap above the edit boxes.
I like the CSS solution better (I had to use 'padding-top: 5px;' to get the rendering right).
class Model(model.Model):
  general_questions = models.TextField()
  _hide = False
  def __unicode__(self):
    if _hide:
      return ''
class ModelInline(admin.TabularInline):
    model = Model
    extra = 0
class ModelAdmin(admin.ModelAdmin):
  inlines = [ModelInline, ]
  def render_change_form(self, request, context, *args, **kwargs):
    for formset in context['inline_admin_formsets']:
      qs = formset.formset.queryset
        for model_obj in qs:
          model_obj._hide = True
  return super(ModelAdmin, self).render_change_form(request, context, *args, **kwargs)
@sjaak-schilperoort Nice one! CSS is indeed the 'trick' to use. Example of the class Foo which has Bar as inline.
static/css/hide_admin_original.css:
td.original p {
  visibility: hidden
}
.inline-group .tabular tr.has_original td {
    padding-top: 5px;
}
admin.py:
class FooAdmin(admin.ModelAdmin):
  inlines = [ BarInline, ]
  class Media:
    css = { "all" : ("css/hide_admin_original.css",) }
admin.site.register(Foo, FooAdmin)
the simplest way to do so is by adding a css to the template file, the answer by Rick van der Zwet is the best one