Jadavpur University

For BE in electrical engineering through lateral entry your score should be around 50.

Yes, with her eligibility in NATA and 10+2 marks she will.

56 was the last year's cut-off.

No, there is no direct quota in Jadavpur University. Moreover, this kind of activities is highly restricted.

Hey buddy you can use this link to find out which colleges you can get from these marks. This is shiksha's official college predictor tool based on previous years data. Hope this helps. All the best.
https://www.shiksha.com/architecture-planning/colleges/b-arch-colleges-india

Yes, you will get a seat in the same campus. The previous year's statistical shows, you have a very high chance of getting into this campus.

For admission in Jadavpur University, architecture department WBJEE GMR(General Merit Rank ) is necessary along with qualification in NATA. That means only NATA score is not enough for admission in B.Arch, you must appear or have had appeared in WBJEE and secured a good rank. FYI last year i.e. for 2015, opening and closing ranks for general category were 861 and 4767 respectively.
Hope it helps.