Could be this one at the Art College excavated in 1971:
http://www.pastscape.org/hob.asp?hob_no=230523&source=textonly&period1=None&county1=Hampshire&class1=None&hob_name1=Settlement&min_date1=ALL&max_date1=ALL&type1=&place1=southampton&page=first&recs_per_page=60&s_o=1&nmr=&defra=
Some good detective work there, but it's not that one!
Nah - I'll dig out the map ref of the bit I'm on about and post back...
Cheers though!
G x