The Leicestershire Removal & Settlement records have the following for 6 May 1809 which may be worth looking into:
Appellant: Stranton under Burdon
Respondent: Ibstock
Richard Weet
Mary Weet, wife
Joseph Weet, son, 3
Sarah Weet, 1 Daughter
Richard Weet of Bagworth married Mary Wollet OTP at Ashby de la Zouch 2 Dec 1804.
Richard may have had a brother called Joseph:
5 Mar 1804 Joseph Weet of Bagworth, 18, FWK, married Ann Whittle, widow OTP at Mountsorrel with the consent of his father, Thomas Weet, by Licence.
20 Dec 1808 Joseph Weet of Bagworth married Ann Clamp OTP at Ibstock
Added: Also connected?
1 Apr 1802 William Weet of Thornton, Bachelor, 25, Farmer & Grazier, married Mary Ann Bywater, Spinster of Ulverscroft at Markfield. By Licence.
15 Jun 1810 Abraham Weet, Widower, Farmer OTP married Elizabeth Cramp, Spinster, 30, at Markfield. By Licence.