They were called Springfield, St Annes and Springfield, (Mere Lane), Everton to tell them apart. Yours was the latter. It comprised very large mansions, so would have been ideal for a private school. It was on the corner of Mere Lane and Breckfield Road North.
The Liverpool City Engineers did not like having two roads named the same. The 1873 Directory has them both, but yours was gone by 1881. It became Loraine Street and the top end of Monk Street. By 1906 all the large mansions had gone and replaced with high density terraces.
If you search on Bing Maps and switch to birds eye view the area is now a school nursery, gym and hall.
Ken