There are two possible local burials: in 1728 and 1777, but both in Leeds.
Another possibility is that he died soon after the birth of his last child as is suggested by a record of a Catherine TOMLINSON marrying Thomas WHITARCE in Wakefield in 1705. The possible associated burial may be the Edward THOMSLINSON who was buried in Horsforth (in the SW of Leeds) on 27 Jan 1704/05. With 5 children aged 7 months - 11 years a swift marriage might have been a necessity.
Marriages for the year 1692
Edw: Tomlinson & Katerine Oxley Nov 27
1693 Baptizings
July
Wm son of Edward Tomlinson Bapt 18
1694 Register of
December
Margreat D: of Edw: Tomlinson Bapt - 22
March memorandum that then was certified to a churchwarden & overseer of the poore that Rebecca Wife of John Burnes, sister Kidd A child of Nora Clegg Mr Ant. Trassals, A Child of Edward Tomlinson, Wm Moore, A child of Wid. Naylor, Eliz: Pinder. A child of Wm Kay, all which had been Buried about eight days al oyes and no affidavit had been certified of their being buried in Wollen
Wm Tomlinson Buried in Wollen affadavit Certified March 7th
May Baptizings
1697
Ann D: of Edw: Tomlinson Bapt - 8th
1700
April Mary D: of Edward Tomlinson Westgate Bapt - 1st
May Baptizings 1704
Benj: son of Edward Tomlinson Westgate 5th
Buried at Horsforth 1704
Jan: 27 Edward Thomlinson
Marriages 1705
Thos Whitacre & Catherine Tomlinson Married Nov 14th
Burials 1710
March - Katherine wife of Tho: Whitaker - 6th
[Warmfield Register 1718]
Nup: Thomas Naylor of ye parish of Roth: }
=well & Anne Tomlinson of ye parish } 1718
Banns published Decr 22d
Buriall's 1729
Novem
Ann wife of Thomas Naylor - 20
...
Decemb
Thomas Naylor Woodside - 4