Hello, Tuppence,
Many thanks for your detailed and very helpful reply. The 1797 burial record for my William gives his death age as 84, which if at all accurate puts his birth in 1713, give or take. I had more or less decided that either the James or the John you mention was my William’s father. Using the grandfather rule of thumb you hit on, John is the correct choice, as my William named his eldest son John—unless there was another, older son who reached adulthood but died before William made his will, which is of course possible. The line you suggest seems sensible to me, and it also seems very possible that James b. 1673 was the brother of the John I’m tentatively choosing as my ancestor.
For what it’s worth, I’ll tell you what I’m sure of. Much of this information comes from the copies I have of the wills of William the elder (b. abt 1713) and of his son, Wiliam the younger (b. abt. 1751), both of Altcar. The elder William was married to Jane Underwood in 1741; his will mentions his father-in-law, John Underwood. Jane apparently pre-deceased Wm, as his will makes no reference to her; there’s a death record for Jane Balshaw from Dec 1757 that I believe is hers. Wm’s will mentions his sons John (identified as the eldest), Thomas, and William; and daughters Mary, wife of Richard Brindle of Altcar, and Elizabeth, wife of Henry Rigby. The will was witnessed by Thomas Rigby, Robert Goore, and James Longton (or Lougton?). Based on the will and on birth and death records, I’ve assigned the following birth and death dates to these offspring: John 1741-1821; Mary 1745-1807; Thos. 1747-1819; Eliz. 1749-1804; and Wm. 1751-1833. William the elder’s will also mentions his granddaughter Margaret, daughter of his son William, which helped to make the connections here clearer. (Wm. wills to Margaret his bed—a bit like Shakespeare.)
I’ve based the birth date of Wm the younger on a death notice from the Liverpool Mercury of 15 Feb 1833 for Wm Balshaw of Altcar, in his 82nd year. The will of Wm. the younger was witnessed by James Rigby, Henry Burgess, and James Norris and mentions sons William and Goore and three daughters: Jane Balshaw, apparently unmarried; Margaret, wife of Thomas Shacklady of Liverpool; and Bridget, wife of James Morley of Kirkdale. Based on the younger son’s given name, it seems likely that this is the William Balshaw who married Anne Goore in 1777. Another death notice for Anne, wife of William Balshaw of Altcar, places her in her 88th year when she died in 1831. Thus she was likely born around 1744 and died before Wm did, which again squares with the will, which doesn’t mention her. Likely birth and death dates for the offspring: Margaret 1778-1846; Jane 1780-1833; William 1782-1844; Bridget 1785-1845; Goore 1788-1851. Oh, and one of Wm. the younger’s executors was a nephew named (you guessed it) William Balshaw, identified as living at Hill House in Altcar.
These wills refer to properties in Lydiate, Altcar, and Downholland and give the names of some of them: Oliver’s, Hilton’s, Sutton’s, Plumb’s, and the Nook, some of them leased from the Earl of Sefton.
Well. Perhaps that’s more than you wanted to know, but I thought that knowing some things for certain about my line of Balshaws might clear up for you some uncertainties about yours. If you have the time, do let me know what you think and add any corrections you can make. I sincerely appreciate your help.