Hi Carol....thank you for the hint of playing with the census. I came up with Shevington too.
Heywood...thank you for checking all the census.
Mo....thank you for the marriage place of Jane Hothersall to Walter Rigby. That is great. I didn't have that.
OK....here goes.
Jane Southworth's parents are John Southworth 1833-1890 and Everilda Cowley 1830-1908. Both from Mawdesley.
Jane in the census- places born:
1871-Wrightington
1881-Wrightington
1891-Shevington
1901-Mawdesley(Married to Richard Hothersall. 1st marriage)
1911-Shevington (Married to Walter Rigby. 2nd marriage)
In 1861 - parents living in Standish.
In 1871 - Jane and parents living in Wrightington
Lancashire BMD Index has birth 1869 sub-district Standish.
So was she born in Wrightington or Shevington? I think in 1901 hubby may have put down Mawdesley. I have not been successful in finding her baptism record.
Thanks everyone for all your help. Getting closer!

Cheers,
Iggy