It looks like that is probably the right one as there are a number of other children with mother's surname Simpson, born in Mansfield district, including a Sarah, Josephine and Bessie. Won't post details in case they are alive.
This could be a possible marriage for the parents:
Marriages Jun qtr. 1916
Jackson, Henry, Simpson, Mansfield, vol. 7b: 125
Simpson, May, Jackson, Mansfield, vol. 7b: 125
However you want to be careful with names like Jackson and Simpson, not to make too many assumptions.