William Fraser (Junior) SCOTLANDHannah, The 1841 census was taken on Sunday 6 June. Here the age given for William, 16 months, is unusually specific for this census where ages are often vague due to rounding down. The absence of the father is not really anything to be concerned about. On a Sunday in summer, he may well have been either away for work, or at the pub.
The family in 1851 census is at 17 Malta St, Gorbals Lanarkshire:
William Frazer head 38 yrs Mason born Dundee, ANS
Janet Frazer wife 41 yrs born Glenluce, WIG
Jessie Frazer daughter 13 yrs born Portpatrick, WIG
William Frazer son 11 yrs born Portpatrick, WIG
Alexander Frazer son 9 yrs born Portpatrick, WIG
Archibald Frazer son 7 yrs born Portpatrick, WIG
Isabella Frazer daughter 5 born Dundonald, AYR
It would appear that the daughter Helen (aged 5 in 1841 census, has either died by 1851, or has left home.)
Below are the birth/ baptism records for the children that I could find on SP.Nothing found for Alexander.
EDIT Yes i did find Alexander 1842 PortPatrick.
here
https://www.scotlandspeople.gov.uk/record-results?search_type=people&event=%28B%20OR%20C%20OR%20S%29&record_type%5B0%5D=opr_births&church_type=Old%20Parish%20Registers&dl_cat=church&dl_rec=church-births-baptisms&surname=Frazer&surname_so=fuzzy&forename=Alexander&forename_so=fuzzy&from_year=1840&to_year=1843&parent_names=William&parent_names_so=exact&parent_name_two_so=exact&county=WIGTOWN&record=Church%20of%20Scotland%20%28old%20parish%20registers%29%20Roman%20Catholic%20Church%20Other%20churchesJessie has a second name Logan. This is worth keeping in mind as it could be a surname from a previous generation; could be a grandmother- either mother of the father, or mother of the mother. Same thing for Alexander who has a second name Kirkl....?
Just a hint when searching on SP to use the search option fuzzy matching or wild card or name variants to pick up on different spellings