Dear Ms. Khushboo,
At the time of issue of share certificate, u can put the name of the company which are shown in your certificate of Incorporation whether it is Public or Private, subject to the provisions of Articles of Association.
Later if ur company name is change, it will be change with the approval of share holder in general meeting and shareholder known the old and new name of the company.
In my opinion, there is no need to says that shareholders do not know the name of the company, its the duty of the shareholders to informe the new name of the company to transferee .
It will be sufficient to file the old name share certificate with transfer deet to company for register the share transfer details in Shareholder Register maintained by the company.
Regards