Hi Lizzie, great to hear from you - I hadn't found many leads on this part of my tree since I last posted to the thread, so it's nice to hear it helped spark some possibilities in your own research.

So I did a little digging on the Draper Lovatt you mentioned in your post. You likely have all of this info, but I'm typing it out to help get it straight in my own head:
Draper Lovatt (the elder) leaves a will executed in 1830. It lists him as being of Lapley, Staffordshire, husband to a Mary.
Six children are listed in the will: Daughters Susannah Herbridge (possibly Hambridge), Elizabeth Garratt (widow) and Letty (Elsewhere Lettice) Blakemore. Also named are sons Jeremiah, Draper and John Lovatt.
Looking through the Lapley baptismal records gives a more complete record of Draper and Mary's children as follows:
Mary Lovatt bap. Lapley, 28 Dec 1777 (not mentioned in will, possibly deceased by 1830)
Susannah Lovatt bap. Lapley, 26 Dec 1779
Elizabeth Lovatt bap. Lapley, (unknown) 1781
Jeremiah Lovatt bap. Lapley, 28 Jul 1786
Draper Lovatt bap. Blymhill, 8 Feb 1789
Lettice Lovatt bap. Blymhill, 3 Jan 1792
I can find no baptismal record for John, so unsure where he fits in the sequence.
Now the first thing I notice with these children is a number of shared names with Lovatts in my tree. Draper isn't among them, but Jeremiah stands out, as does Ann and Elizabeth, all three being names that go back in the family to at least the early-to-mid 17th century.
Looking at Thomas Lovatt and Bridget Draper, I can see the 1739 marriage you found in St Bride's , Fleet. The local records are a bit confused, but I can see a number of children likely born to this couple; Mary (The FindMyPast record transcript has her born on 02 Jan 1739, baptised St-Mary-in-the-Fields, Westminster, 20 Jan 1740 - a child born out of wedlock?), Jeremiah (b. 1740, bap. Clerkenwell, 1741), Draper (bap. Holborn, 1743) and Francis (bap. Holborn, 1744). We see the repetition of names again here.
Now this seems to be a very long-shot given the distance, but there is a set of Lovatt children born to a Thomas and Bridget Lovatt in the village of Scotton, Lincolnshire between the years 1752 and 1766; Ann (bap. 1752, d. same), William (bap. 1759), Thomas (bap. 1761), and Luke (bap. 1766).
I can't find many references to Lovatts in the village before 1752, but there are a number in the decades afterwards (mainly in the nearby village of Scotter). It's perhaps possible that the Thomas and Bridget who appear in Scotton left some children who settled in the area. If they *were* the same couple who were in London, (again, perhaps a long-shot), then what would cause them to move to the north? Even if they had in fact stayed in London, what would cause their son Draper to move to Wheaton Aston? There were a number of Drapers in that part of Staffordshire, as well as Lovatts. Was Draper returning to the ancestral stamping ground?
A thought occurs that Draper (the elder) may have obtained his first name from his mother's surname. It's a tradition that I've seen in the Irish part of my tree, though not in the Irish. If so, that would potentially explain why the name appears in your branch of Lovatts but not mine.
I'll keep digging at this, it's a very interesting line!
