You can apply for M.phil in any university in India as you have completed or earned master degree from a open university , as you all know in India different university prefers different students for their respective programs, they have their own admission criteria as well ,thus is some university you apply ,students from open university may have a additional test / interview for the respective M.phil admission , so kindly read the brochure of each university you intent to apply with at most care .

some of the colleges you can give for M.phill regular admission in Tirunelveli are

• St Xavier's College
• Rani Anna Government College for Women
• St John's College
• Sarah Tucker College
• Sadakathullah Appa College
• JP college of Arts and Science
• ST Ignatius College of Education

kindly go through the brochure of each colleges for better understanding , fees structure, various accreditation ,stipend if provided , choose according to your choice .

hope it clarifies all your doubt

best wishes for your future