Keep the historical legal entity names and dates intact, and gather the documents that explain each corporate change. Identify which specific entity employed the applicant during each period rather than describing the whole history under the company's current name.
Make the chronology traceable to real records
Connect each employment period to the corporate documents in effect at that time, and note any gaps or inconsistent dates rather than smoothing them over. A name change is a different fact from a transfer to a new legal employer, and the distinction matters for the one-year qualifying period calculation. Present the record as it exists rather than a version rewritten to look cleaner.
Share registers, articles of incorporation and any holding-company or trust documents that show the ownership chain; financial statements, leases and invoices that show both businesses operate; and organizational charts that place the transferee in each structure. The predictable surprise for a closely held group is the cost of tidying corporate records: issuing shares that were only ever agreed, recording transfers, preparing registers, obtaining certificates of good standing, and having accountants produce statements for entities that have never needed audited figures.