www.lancashirebmd.org.uk shows an Elizabeth Reynolds' birth registered in the sub district of Aughton (Town Green is part of Aughton) in 1882. Mother's maiden name Pearson.
Joseph Arthur mother's maiden name Pearson was registered in the sub district of North Meols (Southport) in 1784.
Richard Reynolds married Sophia Pearson at Holy Trinity Southport in 1873
From
www.lan-opc.org.ukMarriage: 9 Apr 1873 Holy Trinity, Southport, Lancashire, England
Richard Reynolds - 27 Basket Maker Widower of Halsall's Buildings
Sophia Pearson - (X), 33 Spinster of 20 Hesketh St.
Groom's Father: Thomas Reynolds, Cartman
Bride's Father: Charles Fawcett Pearson, Deceased, Railway Porter
Witness: Thomas Henry Mayhew, (X); Jane Gaskell
Married by Banns by: Edgcumbe Staley