Hi Annie,
I agree with Retiringtype in the other message that the road name is probably Watford Road
http://tinyurl.com/ud84t , behind Arkles Lane which means it's just around the corner from the Anfield Ground.
If I'm passing any time during daylight I'll take a photograph, do we have any idea of the house number?
Although this aerial photograph is a few years old, it gives you an idea of where the street is in relation to the football ground and Stanley Park
http://www.redandwhitekop.com/forum/index.php?topic=17672.msg250208 the road near the bottom of the picture, running off the right side of it will be Arkles Lane and parallel to it, but just off the picture will be Watford Road.
The place to advertise for any family members still living will be the Old Pals Section of the Liverpool Echo
http://icliverpool.icnetwork.co.uk/expats/ which is free to post on there and many people have been lucky in making contacts.
Hope this helps a bit Annie.
Mary
Amended because I typed the wrong name of the road. Sorry guys, not feeling 100% today