I do not think you can assume that David Francis died circa 1824. The advert merely shows that was when he lost all his assets.
You do not say if you have traced all of his children. Did he have a daughter named Eliza?
If so this may help:
Hereford Times 23rd November 1833
Marriages
On Saturday the 16th instant, at Henbury Church, Gloucestershire, Mr A.T Willmott, surgeon, Ross, in this county, to Jane, daughter of N.N Wade Esq, of the former place
Abraham Taylor Wilmott of Ross, Herefordshire qualified as an apothecary in 1841
1841 Census
Broad Street, Ross, Herefordshire
Abraham Wilmot 30 Surgeon
Jane Wilmot 30
William Wilmot 6
Walter Wilmot 5
Arthur Wilmot 4
Jane Wilmot 2
Hereford Journal 19th November 1845
Died
Nov 11, at Ross, aged 38, Jane, the beloved wife of Mr A.S Willmott, surgeon, leaving a family of five small children to deplore their loss.
Hereford Times 15th August 1846
Married
August 8, at Ross, Mr A T Wilmot, surgeon, to Eliza, fourth daughter of the late Rev. David Francis, D.D., of Wheathampstead, Herts.
Marriage of Abraham Taylor Wilmott & Eliza Francis registered Ross, Herefordshire September 1846
1851 Census
Ross, Herefordshire
Abraham Taylor Willmott Head 43 General Practitioner b Ross, Hfds
Eliza Willmott Wife 35 b Ludlow, Shrops
William Willmott Son 17 Scholar at Home b Ross, Hfds
Arthur Willmott Son 13 b Ross, Hfds
Jane Willmott Dau 12 b Ross, Hfds
Nathaniel Willmott Son 8 b Ross, Hfds
Abraham Willmott Son 2 b Ross, Hfds
Harriett Willmott Dau 1 b Ross, Hfds
1861 Census
New Street, Ross, Herefordshire
Abraham T Willmott Head 53 Practitioner Gerneral b Ross, Hfds
Eliza Willmott Wife 43 School Mistress b Ludlow, Shrops
Abraham D Willmott Son 12 b Ross, Hfds
Harriett Ell Willmott Dau 11 b Ross, Hfds
Catharine L D Willmott Dau 9 b Ross, Hfds
1871 Census
Alton Street, Ross, Herefordshire
Abraham Taylor Wilmott Father 63 Reg Gen Practitioner b Ross, Hfds
Eliza Wilmott Wife 55 b Ludlow, Shrops
Cath Lydia C Wilmott Dau 19 b Ludlow, Shrops
Death of Eliza Willmott aged 64 registered Ross, Herefordshire March 1878
1881 Census
Alton Street, Ross, Herfordshire
Abraham Willmot Father in Law W 73 General Practitioner b Ross, Hfds
Death of Abraham Taylor Willmott aged 81 registered Ross, Herefordshire March 1890