Been a while since I lived in Liverpool, but one thing I know for sure......that post-code is WAY outside the city-centre.

Closest railway station, according to Multimap, to that postcode is Kirkby......not sure about buses, but assuming your train is getting into Lime Street Station (usual destination for national trains), I'd say your best bet would be to get the underground round to Central, and then change onto a train directly to/through Kirkby. It'll take about half an hour from Lime Street to Kirkby, with that one change at Central, then you're about 1.5 miles from your destination.

There're lots of regular trains going that way, and coming back.

Someone a bit more local may be able to help out with buses...