Hi, a few bits......
Peter Kelly
born:26 May 1856
bap:1 Aug 1856
parents:Peter Kelly & Bridget Judge
Dumbarton,St Patrick's
* I could find no other births to these parents
1871 census Glasgow
Peter Kyled
age 15 born 1856 Glasgow
living 72 Abercromby St.,Calton,Glasgow
in the Industrial School for Boys
1881 census Glasgow
Peter Kyle
age 22 born 1859 Kirkintilloch,Dunbarton
lodger
occ:trainway guard
living with James Kyle & family (probably a relation)
1891 Inch,Wigtownshire
Peter Kelly
age 33 born 1858 Kirkintilloch
occ:AB Seaman-crew
His parents may have died and hence why he was in an industrial school. I found 2 deaths which may be his parents.
Deaths:
Bridget Kelly
age 31 died:20 Feb 1866
buried:St Peter's,Glasgow
Peter Kelly
age 34 died:20 March 1862
buried:St Peter's,Glasgow
Birth:
Wilhelmina Armstrong
born:8 Dec 1857
place:Lauder,Berwick
illegitimate
mother:Janet Armstrong
informant:William Armstrong-grandfather present
Births to William Armstrong & wife Eliza;
Janet Armstrong
4 Nov 1840
Lauder,Berwick
parents:William Armstrong & Eliza Roider
John Armstrong
24 Nov/Dec 1838(one entry says Nov-one says Dec)
1861 census Lauder,Berwick
William Armstrong head of house age 47 occ:tailor
Eliza Armstrong wife age 46
Williamina Grace grandchild age 3
Marriage:
Janet Armstrong
married
William Rennie
in 1865
in Lauder,Berwick
1871 census Lauder,Berwick
Eliza Armstrong age 57 born 1814 Lauder,Berwick
servant in the Mason household
* William must have died between 1861-1871
1871 census 2 Newport St,Edinburgh, St Cuthbert's
William Rennie head of house age 29 born 1842 Alloa,Stirling occ:tailor
Janet Rennie wife age 30 born 1841 Lauder,Berwick
Wilhiminnie Rennie daughter age 13 b 1858 Lanark,Berwick
Eliza Rennie daughter age 5 b 1866 Galesside,Roxburghshire
John Rennie son age 3 b 1868 Edinburgh
Isabella Rennie daughter age 9 months b 1870 Edinburgh
1881 census Edinburgh
William Rennie age 39 b Alva,Stirling
Janet Rennie age 40
Wilhelmina Rennie age 23
Eliza I Rennie age 15
John Rennie age 13
Isabella Rennie age 10
Thomas H Rennie age 4 b 1877 Edinburgh
Robert B Rennie age 1 b 1880 Edinburgh
Jessie Scott Howieson age 26 cousin (female) b 1855
found 2 marriages which may be for Wilhelmina;
1883 Willhemina Armstrong married Ivie Good in Dalry,Kirkcudbright
1887 Williamina Rennie married William Byres in St Nicholas,Aberdeen City
Deaths:
Janet Armstrong Rennie died 1909 age 69 in Edinburgh
I found this death and it may be Janet's dad William Armstrong. William Armstrong died 1866 at age 55 in Castleton,Roxburghshire. Where there are no deaths for William in Berwick,maybe he was visiting daughter who was living in Roxburghshire at the time.
Hope this helps. Your best place for Scottish records is scotlandspeople,which is a pay per view site but inexpensive. Kim