I can point to no reference but I use the following definitions:
Batch: - A manufactured product that can not be broken down into useful items (i.e. crushed stone, paint solvent, concrete or blue metal flake enamel paint) that can be identified as to location and date of manufacture.
Lot: - A group of items manufactured from the same batch of material. (These items may or may not have serial numbers.) For example, ASTM A325 nuts, reinforcing steel, LAN card or railroad car wheel. The lot number should be able allow you to trace back the group of items to a manufacturer, material supplier(s), date of production etc.
Serial Number: - This is a way to identify a single part, assembly or unit, much like the VIN on an automobile. The serial number is generaly used to record the purchaser, gripes, repair cycle and service life as well as many other things. It should also act like the lot number where the item can be traced back to materials and manufactures.
Hope that helps