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Having invoice number in LM grid is necessary because it's impossible to match unclaimed / unregistered licenses with users and even if user registered license the grid shows display name which cannot be searched in DNN User Accounts.
I can see how this would be useful and will consider this for a future release. Remember however, that Licence Master is not only designed to work integrated with e-commerce applications, so an invoice number will not necessarily be available.
Have you got the Licence Master installation in question integrated with SnowCovered using the LM SnowCovered adaptor?
Snowcovered Adaptor v1.1.0 includes a new facility that records the orders passed through by Snowcovered. It features a grid with filters that enables you to identify orders by Snowcovered Invoice ID or by the customer's email address, and convenient links to view or edit the licence in Licence Master.
Note that Licence Master 1.2.1 is required to support this version. Both are available at our product downloads page.