Multiple names in legacy system for the same bill to site

Summary:

Content (please ensure you mask any confidential information):

In Oracle, multiple customer sites sharing the same address have been consolidated into a single site to streamline and rationalize site management.

For example, in the case of customer XYZ, the legacy system had 20 separate sites for the same address to accommodate different billing requirements. However, in Oracle, each bill-to site supports only one billing cycle and generates individual invoices.

Key Question:
How should we address this requirement in Oracle?

Also, Is there any field or attribute available at the customer site level that can be used to store an alternate site name or differentiate billing needs?