Move fingering closer to notehead, within stem area

[Mus Felix]

How do you move a fingering that is on the stem side closer to the notehead, 
and thus next to the stem instead of outside it?  (See the image and 
snippet.)  While looking around for a solution, I have tried all sorts of 
things: Y-offset, padding, staff-padding, add-stem-support, 
outside-staff-padding, side-axis, direction, etc..  Primarily my goal is to 
get the fingering closer to the note to shrink the system vertically a bit. 
extra-offset is not helping.  Any suggestions?  Thanks.

\version "2.13.51"
\include "english.ly"
\relative c'
{
   \clef bass
   << { c2-1 c }
   \\ { g1 }
   >>
}

lilypondSnippetPicture.png
Description: PNG image