England probably expected their title wait to go to the rearranged final weekend given Scotland, who have not beaten France in the Six Nations since 2010, trailed by 10 points in the second half.
But Scotland struck back after France had to continue with 14 players after using all their replacements and then losing a player to injury.
Debutant wing Rachel Shankland scored a try in the 73rd-minute and then Helen Nelson kicked the conversion from close to the touchline to tie the match.
Defending champions England started their campaign on 2 February with a narrow 19-13 win over France in front of a lively crowd in Pau.
They then outclassed Scotland 53-0 in blizzard-like conditions in Glasgow before beating Ireland 27-0 and securing the Triple Crown with victory over Wales.
The championship then came to halt because of the coronavirus pandemic, with the revised schedule only being confirmed in August.