If I understand you right two small Phillips head screws never moved.
The heads just stripped. If that's the case:

Do the heads stick up enough to grab on to? If so use needle nosed
Vise Grips.
http://www.tylertool.com/vis6ln6need...urce=shopzilla

Or use a small dremel with a paper thin cut off wheel and put a screw
driver slot in them.
http://www.toolbarn.com/product/dremel/409/

Additionally: Use the dremel cut off wheel to machine flats on the
outside of the screw head. Then use the needle nosed Vise Grips.


You can also purchase left hand drills. Try to make the tip catch when
drilling.
http://www.mytoolstore.com/hanson/hanson.html