The village you refer to is Welton-with-Melton not Wilton. There were rather a lot of Kellingtons there in 18th and 19th centuries. I think my family were the last to move away/die out and that was relatively recent.
The first Kellington I have found in the village itself was John Kellington who married Alice Jackson in 1759. John died in on 2nd Dec 1777, when he was found drowned in the Humber.
The incident is recorded in the Church records, but my grandfather talked about itbefore I found the evidence. Apparently the locals used to wade across the river, which is a tidal estuary at that point, using the old Roman Causeway to save a ferry fare. They worked in the brickworks on the far shore. He believed his great, great + grandfather was caught by the incoming tide.
I believe John and Alice had a son William, whose own son Charles is my ancestor. John doesn't appear to have been from Welton himself.Alice appears to have originated in Brantingham, a neighbouring village, being baptised 22 May 1728. John may also have been from there or from North Ferriby, another neighbouring village, from which the ferry crossing ran.
Spelling of the name varied quite a lot, depending on the registrar/Parish Clerk who was recording it. You will find the same family as Kellington, Kelington, Kelinton, Kirlington and Kerlington to name the most common.