Your cousin is interested for the teaching profession though she is working in an IT concern with her basic degree in the graduation. However, her stream for the graduation is not known.
She can persue her MCA in either of the modes - Regular Mode or Correspondence one. Keeping her engagement in the IT sector, she can go ahead for the correspondence mode thus taking up her studies in her convenient times. For MCA qualification, she must be conversant with the Mathematics up to graduation level so that she picks up basics of Mathematics being taught in MCA. You can choose either of the institution for your MCA course in the correspondence course. The following Institutions would prove to be ideal in your case -
1) Indira Gandhi National Open University
2) Manipal Univesity of Distance Education
3) Karnataka Open University
4) Annamalai University
5) Kurukshetra University etc.
You may have an oral interview to assess your passion and inclination towards this course.
Once you qualify the said course with at least 55 percent marks or above, you would be entitled to appear in the NET test and passing the same, you would be offered for the post of lecturer ship provided you fare well in the interview taken up by panel of experts.
Later, continue your Ph.D with the guidance of a competent guide so as to make your career permanently in a constituent engineering college.
If interested for teaching in a high school, better take up B.Ed consisting of two year programme course through the distance mode for which the institutions are indicated. However, prefer to IGNOU for its excellent coverage of the course materials apart from your queries for the doubts clarified in the doubt removal session by the subject experts.
You can also undertake Teacher Training Certificate making you eligible for your selection in a primary school.