I believe I may have found Frances Aylmer the Younger.
I have known of the existence of this Frances Aylmer for some time, but had discounted her because I thought she must have been older than the Frances Aylmer we are looking for, and who would have been a child in 1540.
Frances Aylmer, daughter of Alexander Aylmer of Tanington in Suffolk, married to Christopher Thetford of Titleshall in Norfolk. (The Thetfords have one son named Christopher, and one son Roger)
https://archive.org/stream/visitacionievisi32ryew#page/280/search/AylmerHowever, looking at the family's entry in
The Visitation of London, Anno Domine 1633, 1634, and 1635, and looking at the person who provided the information, and counting approximately four generations per century, I do believe it might be her.
Frances Aylmer - The Visitation of London, Anno Domine 1633, 1634, and 1635https://archive.org/stream/visitationoflond17howa#page/n289/search/ThetfordA quick rehash of the information we have about Alexander Aylmer, and some new:
Edmund, Roger and Thomas Aylmer in the 1480's.
Alexander, mentioned as the nephew and heir of Thomas Aylmer, gentleman, in 1532-1538 in connection with deeds relating to messuages and land in Tivetshall, Norfolk, the given birthplace of John Aylmer, Bishop of London.
Christopher Aylmer, mentioned as the grandson and heir of Thomas Aylmer, in 1553-1555 in connection with a cottage and land in the manor of Harlow, Essex. Sir Laurence Aylmer's son Anthony had been the vicar of the parish church of Harlow in Essex.
Reference: E 328/260Description: Indenture of Sale. (1) Sir Arthur Plantagenet kt., and Dame Elizabeth, his wife, (2) Sir Henry Guildeford kt. and Sir Thomas West kt., and (3) Anthony Wyndesore esq. John Wayt esq., Alexander Aylemere and Leonard Wayte. Parties in (3), Michaelmas term, 14 Henry VIII, Westminster, recovered against (1) manor of Kyngeston Lyale, 60 messuages, 1,200 a. land, 500 a. meadow, 1,000 a. wood £20 rent in Kyngeston Lysle, Balking, Hordwell, Offington, Sparesholt, Freshden and Highworth, co. Berks the manor of Chaddesley, 500 messuages, 2,000 a. land, 500 a. meadow, 1,000 a. pasture, 1,000 a. wood, 3,000 a. heath or bushes, in Chaddesley, co. Worcs. ; manors of Norton Beauchampe, Sandeforde, Lympesham and Torrok, 60 messuages, 1,500 a. land, 1,000 a. meadow, 1,000 a. pasture, 500 a. marsh and the Isle of Staplesholmes and £40 rent on Norton Beauchampe, Worle, Worspryng, Bamwell, Uphyll and Brene, co. Somerset ; manors of Payneswyke and Moreton Valence, 500 messuages, 6,000 a. land, 5,000 a. meadow, 5,000 a. pasture, 500 a. wood and £40 rent in Payneswyke, Moreton Valence, Cockbery and Stanley Pountley, co. Glouc. ; manor of Whaddon, 6 messuages, 20 gardens, 100 a. land, 100 a. meadow, 200 a. pasture and £10 rent in Whaddon and the town of Gloucester. After death of Dame Elizabeth, manor of Kyngeston Lysle, co. Berks. and manor of Kybworthe, otherwise called the manor of Beauchampe, co. Leics. to use of John Dudley, her son and heir. Manors of Payneswyke, Moreton Valence and Whaddon, co. Glouc. and manor of Chaddesley, co. Worcs. to use of Sir Arthur, and in default to use of John Dudley. Manors of Whetehill, co. Salop, ans manor of Ribbesforde, co. Worcs. to use of Sir Arthur and executors. A true copy certified by Arthur Darcy, Edward Mountagu, Richard Ryche (signatures).
Date: 17 November 1522.
Held by: The National Archives, Kew
http://discovery.nationalarchives.gov.uk/details/r/C3540251Reference: E 211/339Description: Indenture by Covenant Parties: Sir Arthur Plantagenet, kt., and Elizabeth his wife; Sir Henry Guldeford, kt., and Sir Thomas West, kt.; Anthony Wyndesore, John Wayt esqs., Leonard Wayt and Alexander Aylmere. Places or Subjects: Kingston Lisle, Balking, Uffington, Sparsholt and elsewhere., County Berks. Chaddesley Corbett., County Wors. Norton Beauchamp, Sampford, Lympsham, Tarnock, Worle and elsewhere., County Soms. Painswick, Gloucester, Moreton Valance and elsewhere., County Glos. Kibworth Beauchamp., County Leics.
Note: Copy
Date: 14 Hen.VIII (1523)
Held by: The National Archives, Kew
http://discovery.nationalarchives.gov.uk/details/r/C3521560Sir Arthur Plantagenet, knight, is the same person as we encountered as Lord Lisle in the will of Thomas Grey, 2nd Marquis of Dorset.
Sir Henry Guildford was also mentioned in the will of Thomas Grey, 2nd Marquis of Dorset. They were brothers-in-law.
Furthermore, I find an Alexander Aylmer as the steward of Kingston Lisle in 1533 in the Lisle Papers.
Alexander Aylmer appears to have died in 1552.
Inquisitions Post Mortem, Aylmer, Alexander: Norfolk, Date: 5 Edw. VI. (1552)http://discovery.nationalarchives.gov.uk/details/r/C7759823http://discovery.nationalarchives.gov.uk/details/r/C7820999