Upvote:3
It's a very safe bet that a change in parents' names from your earlier documents to your not-yet-filed new documents will be noticed by UKVI — visa examiners are always on the lookout for inconsistencies and changes. If you do not satisfactorily explain why the names are different, and how the names were changed, your new application will be denied.
You should, therefore, explain in your new application how the name change came about. Document the change if you can do so. For example, if your parents' names were changed in an Indian court or governmental administrative proceeding, obtain a certified copy of the Order Changing Name (for both of your parents) and include these documents in your application. I would also include copies of the data pages of their old names/superseded passports.