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I am looking for my grandfather Alexander Malcolm  Truelove born 21/8/1915-18 his army records say he was born in Cardiff but we can find no trace of him. He appeared in Birmingham just before the war and married my grandmother, his marriage certificate says father Stephen Malcolm Truelove deceased. They had children and he stayed in Birmingham until 1950 then he moved back to Cardiff where he stayed and died in 1985 losing all contact with his children.
I assume he must of had some connection to Wales so it may hold the key to his past but where do I start looking? He seems to have never been born with no birth cert. So may of been brought up in a home/ poorhouse.
I am at a complete loss where to start searching, would the Glamorgan archives be of help? I can't find him on any electoral rolls for Wales any advice greatly appreciated

I have my grandads service number on my dads birth certificate. 14385391 & says gunner
I have put the info in a forces search website but nothing is coming up for that number. Does anyone else know where I may find that info? If I send off to the MOD for info will they give me enough info without next of kin permission? As sadly my dad and his sister don't talk and out of spite she would never give her permission

where do i start looking for relatives that were adopted out?

I'm trying to find my grandad (deceased) I have his date of birth confirmed by the MOD but I can't find a birth certificate for him and I've put in searches using just his first names and just surname but I just can't find anything. Any advice or reason I can't find a birth certificate?
His name is Alexander Malcolm Truelove DOB 21/8/1915
A few years after my fathers birth he disappeared so my father has no memories of other relatives and nothing was heard until we found his death cert from 1981

I have traced back my tree to Thomas murch b,1824 I have searched for his parents and by looking at other family trees on ancestry his father is Richard Murch 1791-1861 the confusion is Richard was married to Elizabeth loyd  in 1835 and a Sarah Bryant nee carter in 1822 Sarah has12 children susannah 1816,jane1814,Mary,1811,ann1810,Elizabeth 1807, john1806, Sarah 1818, joseph1820 William 1822,George 1824 (the same year Thomas murch was born) Henry 1827 & Elizabeth 1829
I can find a baptism for George mother Sarah father samuel Bryant.... I cannot find a marriage for Richard & Sarah although a family tree shows them as being married In bristol 1822