Maria in particular was in fight since she was trying to break the storage room doors open, and when she couldn't she tried to wrestle the bayonets away.
Anna Demidova tried to fight back with her pillow. After Anastasia got out of her initial shock she was also in fight as well as she too tried to wrestle the bayonets away. The Little Pair fought so hard to survive especially against men twice their size, it's heartbreaking really.
I fail to see how Maria Nicholievna could have possibly run to a door and tried to get out of the murder room. I can double check with Greg King, but I don't recall ever hearing about this. The killers would have blocked the entrance door and they could scarcely have identified individual daughters under the best of circumstances, let alone in a smoke filled room.
As much as I would have loved to believe Maria's inherited Romanov strength made her bulletproof and she was able to run to the doors and escape I doubt this happened. It's known that she ran to the other set of doors-that led to a storage cupboard?-to try and escape.
Except that those murderers were not Cheka. From what I understand, they were just a bunch of hired thugs.
AND they were all-except for Yurovsky-drunk, including the group Ermakov had waiting at the burial site. If they were murdered outside instead of inside where there was nowhere to go some of them may have made it out of the clearing, but most likely would have been caught otherwise as their backs would have been exposed. OTMA and all the servants would have had a chance, Nicholas would have been shot by them all like what happened in the basement, Alexandra couldn't run and wouldn't leave Alexei behind. Botkin could have also been killed if he stayed to pick up Alexei and run. There's more possibilities of what could have happened if they had been shot outside. But I also read that the group waiting for them at the burial site where angry that they hadn't been brought to them alive as they wanted to have fun with the women before killing them. Disgusting thugs.