Hi Dan,
For tax #'s I am not sure as it depends on the county, you might check with your county clerk or assessor to see if they have a GIS which has lat/lon's by tax #.
Regarding a list of address lat/lons, if you are finding MapPoint's geocoding capabilities inadequate, you might consider another more powerful geocoding package like MapMarker. There are many others.
Basically you would
1. For the addresses for which you do have good geocodes from MapPoint, extract the lat/lon's for those using the Pushpin Tool
http://www.mp2kmag.com/downloads/pushpin.tool/
2. Send the remaining through MapMarker or another geocoder (or multiple geocoders) and get the lat/lon's.
3. For the rest (or things that only geocode poorly such as at the zip code level), geocode them manually.
best,
Eric