LLB

Dear,
You are B.Sc honors with B.Ed so it is natural that if you like to proceed further study - it is M.Sc.
Now, you are thinking for alternative course LLB, and in a fix which one will be better. I think your confusion may work out of insecurity in terms of placement. It is common. You may think if you come to legal profession after LLB, there will be opening a separate legal professional path and your dependency on the job will be minimized. I say you are right but for this, you have to give your best effort. You have to know the ins and outs of the profession particularly about the beginning phase after completion of your degree. Also, you have to look for the job opportunity with LLB degree. Undoubtedly, the legal profession has glamour, dignity, money, and satisfaction if succeeded.
However, better think for pros and cons of both the fields - and select one that goes with your temperament, skill, and surroundings. Best wishes as always.

Before enrolling for both the course together, you must know and understand the structure of both the professional courses.
Firstly, I would like to tell you about the Company Secretary course
The course comprises of three programs
Foundation program
Executive Program
Professional Program
After qualifying all the three programs, the candidates has undergo a practical training for a period of 15 months, in a company or CS firm.
After the 15 month training, the candidate has to go through another practical training for a period of 15 days in registrar of company, Stock exchange, SEBI, Company Law Board etc.
As far as course in LLB is concerned, after +2, the duration of the course is 5 years. After completion of the course, the candidate will have to appear for an exam conducted by All India Bar Council and has to complete 1 year internship, to be eligible to practice in court.
Now, according to me, your daughter should enroll for Company Secretary after +2 and law after graduation. This will enable your daughter to complete all the three programs of CS I.e Foundation, Executive and Professional program, along with graduation. After this, she can enroll for the LLb and could pursue while going through the practical training of Company Secretary course. In this way, she could manage to pursue both the courses without much difficulties, but if she decides to pursue both CS and LLb after +2, its not advisable for better results.
Like CA, CS is also a professional course which is carried out in correspondence mode. Whereas Law will be of 5 years long regular course.
She can do like this- Taken admission in CS foundation and simultaneously get into LLB, with specialization in Corporate Law it will be much better for a CS candidate if she is opting for law with corporate law as specialisation.
But things will get tougher for her to manage, as she have to manage both CS and Law simultaneously. Clash of examination dates may also create a head ache. Besides these managing both courses will take great effort and hard work to score better. Besides this she would surely have to opt for good coaching for CS and Law if required.
So, confirm with her if she is capable to manage CS studies + coaching + Law studies simultaneously.
If not better first complete her CS, then opt for LLB (Corporate Law), it will take additional 3 years to complete LLB. If she is going just after +2 will take 5 years for completion.

Students who aspire to become lawyer after 10+2 can join 5 years integrated BA LLB or BBA LLB course offered by multiple universities. National Law Universities conducting All India Law Entrance Test for 5 years integrated 5 years law degree courses for admission to law universities in India. Lots of private universities also offers five years integrated law degree such as BA-LLB or BBA-LLB or B.Sc-LLB. Eligibility criteria of appearing in Law entrance examination is having passed the Higher Secondary School Examination (10+2) system or an equivalent examination by securing in the aggregate not less than 50% of the total marks. The Candidates appearing in the 12th Standard Examination in March/ April can also apply.
Various legacy universities and its affiliated colleges offer 3 years LLB degree course. The degree entitles the graduates to practice law. Most of these universities conduct their own entrance examination. Graduates of all discipline are eligible to seek admission in 3 years law degree course.