I have attempted the first move as best I can so we can proceed swiftly to MC but all I have to show is ton. The woory being that there may be an error which may lead to the unsuccessful method established be Sir Arthur Stanley-Smythe, his previous attempt in 1854 started at Beckton and sadly ended in his public humiliation.

Um, not much to go on, really. Any chance of being more specific?

I think Kilydd is correct in his estimation of ~tonness; it may help that looking at my Fronsky I perceive that the Central line must be avoided for at least the first two plays. I must say it was remarkably optimistic of Stanley-Smythe to even attempt initiation using the at-the-time super-foetal Beckton - the DLR being in the mid C19 a concept "beyond the imaginings of mere mortals" as Conan Doyle once referred to future line play.
By my calculations the only TON stations (excluding ghosts) on the network are :

1. ALPERTON
2. BECKTON
3. BRIXTON
4. EASTACTON*
5. EUSTON
6. HIGHBURY & ISLINGTON
7. HIGH STREET KENSINGTON
8. KENNINGTON
9. KENTON
10. LEYTON*
11. LOUGHTON*
12. NORTH ACTON*
13. PADDINGTON
14. SOUTH KENSINGTON
15. SOUTH KENTON
16. WEST ACTON*
17. WEST BROMPTON
18. WEST KENSINGTON

Then of course there is MORNINGTON CRESCENT itself - but that is hardly going to be the starting station.

Finally there are two stations on the North London Line namely

• HOMERTON
• SOUTH ACTON

But it would be a strange ruleset indeed that allowed initiation from the N.L.L.
The stations marked * above are on the Central Line and are therefore excluded by my Fronsky calculations.
I hope this little exercise will be of help.

Oh, and considering that the (move=0) station is Alperton then the (move=1) station is not likely to be a doubling move either. If Beckton has been ruled out by Stanley-Smythe as reported, then that only leaves eleven possible stations by my reckoning - and Euston would seem highly improbable too. What d'you reckon folks ?

Presumably this assumes a theoretically stable level of play (LV and snoods stable, escalators and lifts dormant, etc.)?