I quickly remembered that my neighbors have had the same experience, and so we called them for advice.
Once I got over my initial disgust and cleaned and sanitized everything in the drawer, and re-washed the silverware now sitting on my dinner table awaiting guests, I went into "JUST KILL IT" mode.
I am happy to report that this morning the score is:
BERGER FAMILY 1
FIELD MICE 0
I'll keep you updated as the stats change.