There is very little evidence that the Romans ever made it to the area that is now known as Liverpool which was little more than a village with no written recorded evidence before 1207. The Romans had a legionnaire’s base at Chester about 20 miles away, a quarry across the Mersey at Storeton on the Wirral and settlements to the east in present day Wigan and Manchester.
A Romano-British site was excavated at Ochre Brook, Tarbock
There has been some archaeological excavations at Irby on the Wirral where some pottery shards where found but very few coins and no brooches.
A map of the North West of England can be found here and you can see Liverpool seems to have been bypassed by the Romans.
I may come back to this section at some point if I can find out any more.