Apologies, I've posted bits of the same story in various threads and was worried about repeating myself. The general outline of what I know:
William Monk, born c 1780 in Rock, Worcestershire (possible parish birth record of 1775 in St Peter and Paul's church Rock, have yet to confirm).
Married an Elizabeth Handley in the same church 1798.
William and Elizabeth had a number of children, all baptised in St Peter and Paul's.
William Monk born c1799 (no parish record found)
Mary Monk born 12th May 1800
Edward Monk - 9 October 1802
John Monk - 1 January 1805 (my 3x great grandfather)
Thomas Monk - 4 November 1806
James Monk - 16 April 1809
Joseph Monk - 08 April 1816
Francis Monk - 02 Jul 1815 (Died that year)
George Monk - 07 Jul 1821 (Died the next year)
I believe Elizabeth Handley died around 1821 and William Monk snr. died in 1844.
Of their surviving children, I've found all except Mary in later Census returns. All of them, without exception, are using the name Monkton. All subsequent marriages use Monkton. John married a Jane Taylor of Pattingham, Staffordshire in 1836, St Peter's Wolverhampton and settled in Pattingham.
William, Thomas James and Edward all lived in the Upper Penn village just outside of Wolverhampton, William Thomas and James actually living together at one point. They stayed, whereas Edward went back to Rock after his father's death (He's living there in 1851 with his wife and family).
Joseph married an Ann Masefield in Pattingham, also in 1836 and then seems to have moved back and forth between Pattingham and Wolverhampton (one son George, died in infancy, another son Thomas, survived). Joseph appears to have died in 1840. Ann seems to have links to Pattingham, her parents are living there in 1841, looking after her child while she is in Shiffnal, Shropshire. She was remarried later that same year and living with her husband and son as Ann Hamlett in Sedgley, near Dudley in 1851.
One historical note I discovered. The lady of Patshull Hall, just outside Pattingham was a Mary Ann Pigot, born Monckton - to a much more famous, landed family in Staffordshire. She died in 1833 and the Pigot Baronets sold Patshull Hall in 1848. In 1841 John is living with his wife and family in Nore Hill farm on what I believe is an outlying part of the Patshull Hall estate, whereas he was living in Pattingham village itself from 1851 onwards. I have no idea if his name and his living on the estate is more than a coincidence. I've found no evidence of any link so far, it may be that the Monks simply adopted the name because it was a high-class name in the county.
So with such a large family group, who seem to stick together everywhere, maybe you can see my confusion as to why William Monk seems so isolated in his old age...