'their taking' is a grammatically correct and usable phrase in written English
You can use it when discussing what someone has done, as in "Their taking the shortcut saved us an hour on our journey".
This is their taking pride in what their generation is able to do".
Don't you remember the Aztecs and their taking out the hearts of their fellow Indians?
Moreover, expressing a desire for negotiations is not the same as their taking place.
Nevertheless, the Maggis said there was never any question about their taking in Holly and her young family.
Lincoln and Slade were not alone in their taking to poetry during one of the most tumultuous periods of the Civil War.
"There is nothing like their taking over and administering local structures of government," said Mr. Al-Gazali, who is from Maiduguri.
One of the possibilities mooted was the idea of making aid to countries outside the EU conditional on their taking back failed asylum applicants.
Their taking over leaves us wondering how many variations of Prometheus lie locked up in chancelleries everywhere-treasured secret blueprints for warding off the decline of nations.
The rising mistrust on both sides and the possibility of their taking the law into their own hands seem most perilous.
The Federal Aviation Administration, for instance, allows many pilots to fly while taking Claritin and Allegra but bans their taking Zyrtec and the over-the-counter medicines.
Cultural institutions have got the message that access to state sponsorship and funds is likely to depend on their taking that on board.
