Pontiac: Left Turn front side marker on 96 Sunfire GT

Here's something weird. My left turn signal dash indicator flashed faster
than the right side one and when the headlights are on, the left turn
indicator on the dash lights up. On inspection I noticed that the left
front side marker light was burnt out. When I replaced it with another 194
bulb the condition remained. I looked at the old bulb closer and noticed
that it isn't burnt out but the side marker light barely illuminates when
the headlights are on but it illuminates normally with the left turn signal
on(although it flashes quite a bit faster than 'normal' or the right turn
signal. With the headlights on the left turn indicator stays on with the
new 194 bulb. Inspection of the socket and wire doesn't reveal anything
abnormal. I'm not a mechanic but could this be a turn signal flasher
problem? Any ideas or suggestions would be appreciated.

Jason

we dont suspect the turn signal relay but it wont hurt to change it and
all the bulbs. spray the sockets out with starting fluid