The'family way' bit is a singer's modification, as I think must be the anachronistic segue into 'Silver Dollar'. The Silberman and Grock version has;

'Which day, what day,
I don't know what to say...'

The verse that precedes AWM's chorus goes:

'Abie courted Rachel
they were a loving pair
He promised he would marry her some day;
He promised her a ring
To have her for his own;
Said she, the only ring you ever give is on the phone'

There is (from memory) at least one more verse:

'Abie said to Rachel
Now when my ship comes home
I'll buy you lots of jewelry at Woolworths
And when my ship comes home
I'll take you round the town;
Said she,Oh no you won't
Because I know your ship's gone down

'Abie, etc'