If you use the Free BMD you will find three Mary Jane Greenwoods, June quarter, Ref.96 110, Sept. quarter Ref.9a 165 and Dec. quarter 9b 151, all Yorkshire. However if you look at the 1861 Census there is only one Mary Jane Greenwood of that age, living with Susannah, 52, Esther, 19, Hannah, 18. If there is any chance any of the other names ring a bell you might be on to the right person. As most of the entries seem to be for Yorkshire it looks as though it could be a Yorkshire name. Hope this is of help.