Hi Larry,
I'm glad you found my comments helpful.
"Maintain customer list" is verb and a noun so could be a process - however "maintain" is one of those catch-all words and what we are after is the reason why the list is being maintained and I guessed it was to identify customers. The actual words are not that important as the process specfication will define what the process actually does, but for clarity it would make sense to make for the process title to be as meaningfull as possible.
I can't really answer your questions about "pass of customer data" without knowing the context of the project...and I would suggest modelling that to define the functional scope anyway.
You said that the objective of this exercise is "to improve the processes" - how will you know that processes have been improved? What will you measure and what target do you need to reach? The reason I am asking is that this will guide what needs to be modelled not just functionally, but in terms of locations, organisation units, data requirements and tools.
Just so I know a bit better where you are coming from, what training/experience have you had in formal business analysis, and are you using any tools to model your requirements?
Guy