Shri Shikshayatan college in Kolkata is one of the most reputed private all girls colleges. It definitely has a brand name of its own and it's quite popular in Kolkata.
Here are some facts about the college:
Your college does not matter in UPSC, only your marks in graduation matter. But Shri Shikshayatan has a popularity and familiarity among people, so it will not be a problem.