Hi StompieSinger
A bit of an anomaly area is North Cave, South Cave and all the hamlets and further along to Newport and Gilberdyke, as to where the Methodist's were buried.
It could be they had a family tomb etc on the estate, to find out you would need to look at all the documents held in the archives.
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https://www.myprimitivemethodists.org.uk/content/chapels/yorkshire/n-p/north_cave_primitive_methodist_chapel_east_yorkshire North Cave Primitive Methodist Chapel East Yorkshire
The chapel erected in 1870 to the plans of architect Joseph Wright at a cost of approximately £800 replaced a chapel that was built in 1819. It had the distinction of being the first chapel built north of the Humber opening on 26th July 1819. North Cave also became the head of the North Cave Circuit.
By 2009 the chapel appeared to have closed for worship. In February 2013 bids were invited for the purchase of the building. It was sold to be converted into three apartments.
Photos taken August 2009 and 2013.
OS Map ref:106:SE892323
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Maybe they are buried in the cemetery of All Saints Church, North Cave - You could contact the vicar and ask if he is able to assist you with the burials 01430 470716 or write to the Vicar of All Saint's Church, Church Street, North Cave, East Yorkshire.
On this link for the church you can email directly to them.
https://www.achurchnearyou.com/church/19166/get-in-touch/ __________________________________________________________________________
https://www.genuki.org.uk/big/eng/YKS/ERY/NorthCave___________________________________________________________________________
They may have been buried in South Cave Cemetery
https://southcavepc.gov.uk/cemeteryBy 1872 the churchyard at All Saint’s Church (this will be North Cave) had become overcrowded. Therefore, Charles Edward Gee Barnard of Cave Castle donated an acre and rood for a new burial ground, which was consecrated in 1873. This cemetery was placed under the control of a burial board of seven members. As of 1910, it was administered by the Parish Council.
The grounds were extended in 1967, with a further extension consecrated in 2011. The chapel was designed by Smith & Brodrick of Hull and built by local builder Thomas Goodwill for £800. It has unusual red acorn roof tiles, an apsidal east end, and a bell turret to the west.
The first interment in the cemetery was of William Thompson, aged 7 months. Over the years, the chapel was no longer used for funeral services and fell into a poor state of repair, becoming the target of vandals. However, a group of volunteers formed the Friends of South Cave Cemetery Chapel and raised funds for restoration work.
Restoration work was carried out over a period of several years, with summer concerts and Christmas Carol services being held in the chapel. It is a listed building, but without electricity, water or sanitary arrangements its use is limited.
The lychgate was also designed by Smith & Brodrick, and was restored early in the 21st Century.
The Victorian brass bell which tolled at burials was stolen from the chapel bell turret some years ago. However, it mysteriously reappeared, having been painted black, at the back of a cupboard in the Town Hall in 1992. A parish councillor had the bell restored and it is now on show in the Town Hall Chamber. The table from the chapel is now in All Saint’s Church in front of the organ.
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https://www.genuki.org.uk/big/eng/YKS/ERY/SouthCave ______________________________________________________________________________
Regards
bendywendy