Martha,
The Census Bureau does not have this information. It has a database of businesses which it uses for the Economic Census and for surveys, but I think that's firm based rather than establishment based. Think a bank with many branches: one firm, multiple establishments. Census definitely does not know the number of employees per establishment, and to the extent that it collects data on that number, the data are only released in big groups (e.g, under 50, 50-249, etc.) and at higher levels of geography.
The best source of that type of information is your state's employment security agency, which collects data in the process of collecting unemployment insurance taxes. This creates a file that used to be called the ES202 file, although I think it may have another name now.
Your local transportation planning agency, likely your regional Council of Governments, may have obtained these data and geocoded to tract, although release policies vary by state.
If you'd like to discuss this further, please feel free to email me.
Patty Becker