That memorial inscription is a great find. Doing a quick search for it it looks like it's from the Balliol Archives. If I'm over that way again I'll try and get you a photo.
Balliol Archives - Burials and Inscriptions in St Cross Church
http://archives.balliol.ox.ac.uk/Archives/stcrossmemorials.aspI did see a tree on Ancestry (it may be yours) with Frances named as Steele, having died in 1836. I looked into it and couldn't find a connection but given that MI I'll take another look.
As for William (born 1792) and Sarah Ann (born 1793), I didn't have any luck tracing either of them.
As for Jane (born 1799), I posted some details on an earlier
reply, #21. She married a Rev John Scott. I didn't have any luck tracing her after 1861.
As for Richard (born 1803, died 1875), he married Eliza Maynard in 1837.
Marriage:married: 05 Jan 1837; Bicester; lic
groom: Richard Walker; of New College; of St Peter's in the East, Oxford; bach
bride: Eliza Maynard; otp; spin
witnesses: William Grant?, Sarah Elizabeth Maynard
GRO BMD references:1839 Q1 Birth: Percy Cooper Walker; (mmn: Maynard); Abingdon; 06; 127
1840 Q3 Birth: Herbert Stratton Walker; (mmn: Maynard); Woodstock; 16; 131
1842 Q2 Birth: Hyde Edwards Walker; (mmn: Maynard); Bicester; 16; 34
1844 Q2 Birth: Ricarda Grace Walker; (mmn: Maynard); Bicester; 16; 31 [GRO=Waller, FreeBMD=Walker]
1848 Q1 Birth: Forrester Wrench Walker; (mmn: Maynard); Bicester; 16; 33
1849 Q3 Birth: Edwards Francis Walker; (mmn: Maynard); Bicester; 16; 29
1849 Q3 Death: Francis Edwards Walker; (age 0(born c1849); Bicester; 16; 24
1853 Q1 Birth: Edward Francis Se Walker; (mmn: Maynard); Headington; 03a; 518
1875 Q1 Death: Richard Walker; age 72( born c1803); Ulverston; 08e; 644
Probate:The Reverend Richard Walker
late of Seathwaite, Lancaster
https://probatesearch.service.gov.uk/Calendar?surname=walker&yearOfDeath=1875&page=18#calendarCensus records:1841 - Kings End, Bicester
Possibly son Percy with grandmother Elizabeth Maynard.
Ref HO107; Piece 885; Book 2; Folio 7; Page 8
1851 - Michaelstone Super Avon, Neath, Glamorganshire
Richard and Eliza with 6 children
Ref HO107; Piece 2462; Folio 324; Page 42
1861 - Seathwaite, Ulverston
Richard and Eliza with 3 children
Ref RG09; Piece 3172; Folio 6; Page 5
1871 - Seathwaite, Ulverston
Richard with daughter Ricarda
Ref RG10; Piece 4246; Folio -; Page 5
Newspaper items:Banbury Guardian
09 Dec 1847
Bicester
Died
November 25, at the Rev. R. Walker's, Bicester King's End, Sarah Elizabeth, daughter of the late Mr R Maynard, of Weston-on-the-Green, aged 40 years.
Banbury Guardian
20 Sep 1849
Died
On the 18th, at Bicester King's End, Francis Edwards, infant son of the Rev Richard Walker.
Lancaster Gazette
20 Mar 1875
Died
Seathwaite - On the 11th inst, at the Vicarage, the Rev Richard Walker, M.A., formerly of New College, Oxford, for 14 years vicar of the parish.
Oxfordshire Telegraph
28 Nov 1877
Died
November 8, at Angelsea Villas, Ventor, Isle of Wight, aged 29, Mr Forrester Wrench Walker, son of the late Rev. Richard Walker, of Seathwaite, formerly of Bicester.
Soulby's Ulverston Advertiser and General Intelligencer
16 May 1878
Marriages
On the 9th inst, at Seathwaite Church, by the Rev S. R. M. Walker, vicar, and the Rev P. C. Walker, vicar of Borrowdale, brothers of the bride, Frederick William, youngest son of the late William Grant, Esq, Addlestone, Surrey, to Ricarda Grace, only daughter of the late Rev Richard Walker, vicar of Seathwaite.
Shields Daily Gazette
05 May 1879
Death of Rev Percy C Walker, curate of Borrowdale church.
