Hi again,
just realised Eliza's quoted birthplace Linton IS covered by this site's PRs. Of course Eliza is a common name, not to mention Elizabeth, Betty, etc; plus the projected birth year may well be slightly out, but here's a few POSSIBLES from this site's PRs. I found these using the wondrous Advanced Seach" feature, one of it's many great advantages are you can search without knowing a surname, for example.

Record_ID 238003
Entry_Number
Year 1835
Month Apr
Day 12
Parents_Surname MARSHALL
Child_Forenames Eliza
Fathers_Forenames James
Mothers_Forenames Mary
Mothers_Surname
Residence Linton
Occupation Carpenter
Officiating_Minister
Event Baptism
Memoranda
Notes
Register_Reference AR91/5
Page_Number
Parish_Chapel Linton
Soundex M624

Record_ID 238011
Entry_Number
Year 1835
Month Dec
Day 26
Parents_Surname JONES
Child_Forenames Eliza
Fathers_Forenames John
Mothers_Forenames Elizabeth
Mothers_Surname
Residence Linton HIll
Occupation Labourer
Officiating_Minister
Event Baptism
Memoranda
Notes
Register_Reference AR91/5
Page_Number
Parish_Chapel Linton
Soundex J520

BUT Clearly a lot more work needed !

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I really should have tried this earlier !
searching FreeBMD for their possible marriage ? Sadly a lot to choose from but NONE obviously in our area ??
ALSO such a shame their two births just fall before the FreeBMD (GRO) coverage started in 1837 !