The trademark is registered in the name of the company, and the ownership of the trademark belongs to the company. The scope of trademark protection is not limited by the scope of business license of the company. However, if the company's license name or address changes, then the trademark needs to change accordingly.
The legal person you understand may be the personal name of the legal representative.
When an individual applies for a registered trademark, he/she needs to provide a copy of his/her ID card and the business license of individual industrial and commercial households. The ownership of a trademark belongs to an individual, and the scope of trademark protection is limited by the business scope permitted by the individual, so trademark protection can only be applied for within the permitted business scope. Where the applicant's address changes, the trademark application address does not need to be changed accordingly.