As part of a research project I had to do some researching into the archives of the NY Times via my college computer account. The archives go back to the mid 1800s. When I typed in "daughter of tsar" the name that came up most often was Tatiana Nicholaivena, this was almost entirely in the WWI period when the children were more seen.
Olga was only mentioned as a nurse or or in rumors to her possible marriage, Maria and Anastasia not at all (until after the murders). Tatiana, on the other hand, had several articles on her. Her Committee for Refugees or whatever was apparently a big deal and she really was running it and it had a lot of foreign financial sponsors helping (English and American, that's why the Times covered it). There was one article on a rich American who went to Russia to help with charity work and in it he's quoted as being honored to meet the GD Tatiana, who chaired the meeting and welcomed him to Russia. She apparently did this a lot. Another article (more a blurb really, this is before the NY Times focused heavily on International news) mentions that the Empress Alexandra and GD Tatiana oversaw the arrival and commissioning of several ambulance cars payed for by Americans. And in the charity lists of all the groups that people could contribute to, there was a listing for each country (ALLIED country, that is) and under the Russian section - "the Committe of GD Tatiana" was always listed first.
She was obviously the more visible of all of N&A's children outside the Heir and did a lot more than expected of a SECOND daughter. Not surprising considering Olga's more retiring and introverted nature. What did surprise me was despite the fact we've been told that the GDss didn't like their royal titles used, how much Tatiana was involved in with the war effort (especially considering she also did nursing work) in her position as NII's daughter. During the war years, one could say she was as visible as her mother, the ailing Empress.
More proof if any that the family was born in the wrong period, they would have made model and respected constitutional royals in the British model if they had not been stuck in the autocratic model. Tatiana in particular seemed to thrive on her public role.