Murka, apparently, was a generic name for a gangster's moll.
This is what Sokolsky sings:

Znayetye'l vy Murku,
Murku doroguyu?
pomnish li ty, Murka, nash roman?
kak s toboy lyubili,
vremya provodili,
i sovsyem nye znali pra obman.

kak-ta bylo dyelo,
vypit zaxotel ya
i zashyol v shikarny ryestoran.
vizhu - v zalye bara,
tam tantzuyet para:
Murka i kakoy-to yuny frant!

Ya k nyey podbegayu,
zaruku khvatayu:
"Mnye s'taboyu nada gavorit!"
ah ana smeyotsa,
tolka k parnyu zhmyotsa,
"Nyechevo, - skazala, - gavorit"...

Murka, v chyom zhe dyelo?
shto ty ne imyela?
razve ya tebya nye odeval?
shlyapki i zhakety,
kaltza i braslyety,
razve ya tebye nye pokupal?

zdrasvuy, maya Murka,
zdrasvuy, dorogaya,
zdrasvuy, maya Murka, i proshay...
ty menya lyubila,
a tepyer zabyla,
i za eto pulyu poluchay!

Do you know Murka,
darling Murka?
do you, Murka, remember our affair?
how we loved each other,
passed our time together,
and I never knew about your treachery.

once I had some business,
and wanted a drink
so I went into a posh restaurant.
in the bar I saw,
a couple dancing:
Murka and some sort of young buck (or dandy)!

I ran up to her,
grabbed her by the arm:
"We need to talk!"
but she laughed,
she pressed closer to the guy,
"We have nothing to talk about" she said.

Murka, what's all this about?
what didn't you have?
did I not clothe you?
hats and jackets,
rings and bracelets,
did I not buy you these?

Hello, my Murka,
hello, dear,
hello, my Murka, and farewell...
you loved me,
but now've forgotten about me,
so for this take a bullet!