This was indeed a more difficult puzzle than it appeared and for a change I did not get any correct solution. One realises that after trying a few combinations for the first 2-3 days, one invariably gets stuck in a hole. This puzzle had gone viral after it was first published, partially just due to its simplicity.
Here is one of the answers to the puzzle, the original source claims that there are seven solutions.
It turns out that there are essentially seven different solutions to Kirkman’s original schoolgirl problem; here’s one of them (All names of course are made up).
For the avid puzzlers/ mathematicians, one can see that there can be a more generic version of this puzzle where there are n ladies, who go out in pairs of m each (n is divisible by m) and do this for d days. If you are interested, please refer to the following link:
Hope that some of you tried this and enjoyed it!