Cleartrip — names I provided are correct ticket from airline names were wrong

I booked my ticket in cleartrip, i entered all details correctly, when i received my ticket all the spelling were correct, and when i checked my airline ticket mine and my daughter spelling were wrong. On this i spoke to cleartrip customer care from one week, but each day they are saying different answers. Now they are saying i need to cancel my ticket which is non refundable.. And i need to purchase new ticket. If the mistake happen from me i can accept.. This they did mistake and asking me to cancel ticket which is non-refundable.. None of the customer care rep are not known what they are talking.