Which John Eastlake was the father of 1781 Fowey Henry?
Research note by Wesley Johnston - begun 18 April 2020, last updated 18 April 2020
https://www.ancestry.com/mediaui-viewer/tree/12001386/person/422182839447/media/0e1a2af9-a0de-45c5-81af-823d0a8d4c2e
 
What Is Known
Before we begin, keep in mind that the images of the Fowey parish registers are not online, so that I cannot very any transcriptions.
Baptism
The Cornwall Family History Society's baptism database records the 8 Aug 1781 baptism at Fowey of Henry EASTLAKE, son of John and Jane EASTLAKE.
Marriages
On 4 Jun 1770 at Fowey, John EASTLAKE married Jennefred CROCKER.Her given name is spelled Jennifred in some transcriptions, but since the Fowey record images are not online, I cannot confirm either spelling.
On 14 Nov 1773 at Plymouth, Devon John EASTLAKE and Jane ROBINS married. He was from St. Germans, Cornwall, and she was from Plymouth. As the baptisms show below, they lived in St. Germans and may have moved to Fowey. (See my research note on this marriage, since he was a stray from Cornwall, and although the banns were called at St. Germans, the marriage was at Plymouth, so that neither the Cornwall Family History Society nor the Cornwall OPC marriage databases include this marriage: https://www.ancestry.com/mediaui-viewer/tree/12001386/person/422183270993/media/0e1a2af9-a0de-45c5-81af-823d0a8d4c2e )
Baptisms
The Cornwall Family History Society's baptism database records ten children whose mother was either J*n*, eight baptized at Fowey and two at St. Germans.
1771-06-09-Fowey-John son of John and Jennifred EASLAKE
1773-03-07-Fowey-Jennifred dau of John and Jennifred EASTLAKE
1775-12-01-St Germans-William, son of John and Jane EASTLAKE
1776-04-07-Fowey-Christian, dau of John and Jennifred EASTLAKE
1777-06-01-St Germans-John, son of John and Jane EASTLAKE
1777-12-21-Fowey-Elizabeth, dau of John and Jennifred EASTLAKE
1779-08-22-Fowey-William, son of John and Jane EASTLAKE
1781-08-08-Fowey-(twins?) Henry and James, sons of John and Jane EASTLAKE
1785-10-16-Fowey-William, son of John and Jennifer ESLAKE
Burials
There are no burials of a John, Jane of Jen* for the time period other than one burial at Fowey:
https://www.cornwall-opc-database.org/search-database/more-info/?t=burials&id=4349311
1787-04-01-Fowey-burial of John ESLAKE, age 45, Pauper
Issues
The primary question is: which John EASTLAKE was the father of Henry EASTLAKE?
The answers to other questions will answer the primary question.
1 - Which couple, the Fowey or the St. Germans couple, were the parents of Henry EASTLAKE?
2 - Which baptism is the correct baptism of the John EASTLAKE who was the father of Henry EASTLAKE?
3 - Which John EASTLAKE (as ESLAKE) died in 1787?