Ok, just had a quick look and they played some finals at KGV from 86-89 and not necessarily matches involving Glenorchy either and from then on all at North Hobart in the south.
Back in the early 80s the Bowen Bridge was touted as the big thing to get more people into the northern suburbs and as such, the TANFL was trying to get KGV built as a 27,000 seat stadium for footy, cricket, fully lit with sponsors boxes etc. The first signs of that was when they kicked Hobart off the TCA Ground at the end of 1982 and made them go and be "guinea pigs" for want of a better word and force them to play all home games at KGV along with Glenorchy.
Hobart lost a sizeable section of their membership and supporter base over it and ended up a basket case finishing on the bottom in 1983, 1984 and 1985 and looked destined to be excluded from the Statewide League in 1986 only that they signed Peter Hudson as coach and recruited well in the off season and went on to make the finals in their final year at KGV (1986).
The TANFL rostered one of their Winfield Intrastate Series matches there in 1984, played an interstate game there in 1986 against Queensland and followed up by playing TFL finals there in 1986, 1987 and 1988.
The public never really ever warmed to KGV as a venue as much as they did with North Hobart as it had very little atmosphere in comparison and after 1988 no more finals were scheduled for the ground.
1984 Winfield Intrastate Series
NTFA 20.12 (132) d NWFU 17.16 (118)
Attendance: 1,724
1986 NFL Shield Interstate Match
Tasmania 28.12 (180) d Queensland 9.14 (68)
Attendance: 4,264
1986 TFL Statewide 1st Semi Final
Clarence 18.22 (130) d North Hobart 15.10 (100)
Attendance: 4,439
1987 TFL Statewide Elimination Final
Hobart 18.11 (119) d Burnie Hawks 9.14 (68)
Attendance: 2,803
1987 TFL Statewide 1st Semi Final
Clarence 18.13 (121) d Hobart 17.15 (117)
Attendance: 3,885
1988 TFL Statewide 1st Semi Final
Burnie Hawks 12.19 (91) d Sandy Bay 11.11 (77)
Attendance: 2,369