Hi Richard, These are the records I could find ……
Baptisms of Children of Joseph Broad at St Thomas, Ashton in Makerfield• Thomas - born 16 Mar 1760
• Sarah - born 23 Feb 1763, Burial: 20 May 1763
• Mary - born 24 Jan 1766, Burial: 23 May 1766
• Betty - born 15 May 1772
• Joseph - born 26 Nov 1773
• Sally - born 21 Feb 1775, Burial (Sarah): 7 Nov 1777
• Willam (s/o Joseph) - Burial: 20 Nov 1776 ( baptism not found)
• William - born 21 Mar 1779, Burial: 6 Dec 1780
[BURIAL - 23 May 1780 -
Mary Broad, wife of Joseph - St Thomas, Ashton in Makerfield]
Continued Baptisms of Children of Joseph Broad at St Thomas, Ashton in Makerfield• Hannah – born 21 Mar 1782
• William - born 14 Feb 1784
• John - born 18 Aug 1785
• Luke - born 6 Oct 1787, Burial: 13 Aug 1788
• Peter - born 16 Mar 1789, Burial: 23 Jan 1790
• Luke - born 25 Jun 1790
[BURIAL - 20 Nov 1791 -
Joseph Broad - St Thomas, Ashton in Makerfield]
[BURIAL - 4 Dec 1796 –
Ellen Broad - St Thomas, Ashton in Makerfield]
( I think this Sarah must belong to a different Joseph – perhaps the son named Joseph, born 1773)
• Sarah born 28 May 1798, Burial: 24 May 1799
This is the marriage you refer to.MARRIAGE 19 Jul 1781 St Oswald, Winwick
Joseph Broade - (X), of this Parish to
Ellen Heaton - (X), of this Parish
It does seem a good possibility, as it fits between the burial of Joseph’s first wife, and the birth of Hannah in 1782.
Ashton in Makerfield was originally a chapelry of Winwick, with St Thomas, its chapel. Winwick is only 4 miles from Ashton in Makerfield
https://www.lan-opc.org.uk/Ashton-in-Makerfield/stthomas/index.html