Use relevant corporate name-change or trade-name records and an explanation connecting the payroll issuer to the actual employer. Preserve the historical documents.
Make the link verifiable
Do not replace the old name on a genuine record with the new one. If a different legal entity paid the employee, explain why instead of assuming that similar branding proves identity. Reconciliation works record by record, never by assertion.
Line up the payroll statements, the employment agreement, tax slips and any pension or benefits statement, and for each one note the entity named, the period covered, and the instrument connecting that entity to the present employer. The common breakdown is a chain with one missing link, where two documents name entities that nobody has formally tied together; a reviewer stops at that gap rather than assuming continuity across it. Ask for the registry extract or the corporate resolution that closes it, and where no such document exists, say so and explain what does exist instead.
Hypothetical example: a payroll administrator issues a letter confirming that two employer names refer to one operation, and it is the attached registry extract, not the letter, that carries the point.