That is my hope, now.If your voltage is down as low as 1 - 2 mV then you may simply amplify the signal to get usable output.
.I am curious how the voltmeter input bias current / impedance may be affecting your readings.
It sounds like the sensor has a high impedance output.
My conclusion is that the voltmeter is very, very high input impedance. It's actually a pretty fancy one, I think. It autoranges from .1V to 100V with no physical button-pressing. I got two of them and a bunch of other test equipment including two logic analyzers (HP 16500C with four LA cards, and another one that also had a DSO), a data/pattern generator, and a bunch of other stuff for $200 from an electronics surplus place. I ended up spending another $100 on various probes and cables, but I can't complain too much I guess.
I tried amplifying the photodetector's output with a bipolar opamp and got nothing useful, so the photocurrent is definitely very small - I'll try a follower as you suggest. I think you're right that the sensor's output impedance is very high. I also have some FET input opamps around here somewhere, I think.