From FreeCEN, there are several Archibald Patterson Scougals in the England and Wales indexes
1. Born Berwick upon Tweed, 1868
2. Born South Shields, 1890
3. Married Newcastle on Tyne, 1896, possible wives Margaret Ann Chambers and Agnes Hume
4. Born South Shields, 1900
and Archibald P Scougals
5. Died Newcastle on Tyne 1901 aged 73
6. Died Sedgfield 1912, aged 43
7. Married Newcastle on Tyne, 1913, wife Elizabeth Cavanagh
8. Married Newcastle on Tyne, 1921, wife Elizabeth Bright
9. Died Newcastle on Tyne, 1927, aged 37
10. Married Newcastle on Tyne, 1929, wife Norah Thompson
11. Born Newcastle on Tyne, 1930, mother Thompson
12. Died Newcastle on Tyne, 1935, aged 35
13. Married Newcastle on Tyne, 1952, wife Veitch
After a bit of a sort out, this is what it looks like
5. Died Newcastle on Tyne 1901 aged 73 (born 1827/8)
1. Born Berwick upon Tweed, 1868
3. Married Newcastle on Tyne, 1896, possible wives Margaret Ann Chambers and Agnes Hume
6. Died Sedgfield 1912, aged 43
This looks like your one.
2. Born South Shields, 1890
9. Died Newcastle on Tyne, 1927, aged 37
4. Born South Shields, 1900
12. Died Newcastle on Tyne, 1935, aged 35
As to which one married whom after 1911, I am not speculating.
Turning to the census
1881, at Tweedmouth: Archibald, 54, woodyard foreman, born Scotland; wife Margaret, 53, born Scotland; children David, 15; Archibald, 12; Agnes, 10; all born Tweedmouth
1891, Tweedmouth: Archibald, 64; wife Margaret, 63; daughter Agnes, 20. Birthplaces as before.
1901, Westgate, Newcastle: David, 35, bar manager, born Tweedmouth; wife Elizabeth, 35, born Edinburgh; children Archibald P, 11; Elizabeth Jane, 8; Agnes C, 6; Margaret N, 4; Charlotte, 2; David, 1. Two born in South Shields, the rest in Newcastle
1911, Newcastle: Elizabeth, 45, widow; Archibald, 20; Elizabeth, 18; Agnes, 16; Margaret, 14; Charlotte, 12; David, 11. Birthplaces as before.
1911, Sedgfield: Archie Patterson, widower, 42, labourer, born Tweedmouth; Archie Patterson Jr, 11, boarding in household of Hannah Scott.
1911, Dudley: Margaret Scougal widow, 27, born Norwich; Winifred, 8, born Edinburgh Barracks.
So did Archie and Margaret agree to go their separate ways, each claiming to be widowed?
There are too many Winifreds born in Edinburgh 1902-1903 to look them all up online, so unless someone has a clue what name she might have been registered under, the only way to look them up would be if someone is going to be in the SP centre.