Written by Mark Gatiss, An Adventure in Space and Time features David Bradley as Hartnell, the first actor to play the Doctor in 1963.
Jessica Carney, who was six when her grandfather took the role, said he would have been “thrilled” by the show.
She was clearly overcome with emotion after a screening in London on Tuesday.
Some fans had queued up for hours for return tickets to the preview, held at BFI Southbank, which was attended by a number of former Doctor Who stars.
Afterwards, Carney thanked Bradley “for playing my grandfather so wonderfully”.
An Adventure in Space and Time is set in the first half of the 1960s and focuses on the people who created the sci-fi show, which celebrates its 50th anniversary next week.
Radio Times has a great writeup of this past Saturday’s all star panel to celebrate the First Doctor at BFI Southbank:
Saturday was a big day for Doctor Who – the programme and fans – as the British Film Institute launched Doctor Who at 50, its year-long celebration of the Time Lord. Every month they’ll be screening a classic story for each Doctor and reuniting many luminaries from the world of Who.
To kick off, it was right back to the very beginning, to An Unearthly Child, the atmospheric four-part serial that launched the series on BBCtv in November and December 1963. And it was amazing how many guests were able to attend, people directly involved on that programme or with the era of the first Doctor, William Hartnell. They included (pictured above) William Russell and Carole Ann Ford (companions Ian and Susan) and Jeremy Young, who played the first villain….