Here's EXACTLY the same hand and board, this time in a ring game, and I laid down the turn with my overpair.

But I think this was my mistake, I misread my hand and therefore didn't raise it from my BB preflop.

*********** # 3 **************
PokerStars Game #1152117884: Hold'em No Limit ($0.05/$0.10) - 2005/01/31 -
17:05:33 (ET)
Table 'Genua' Seat #9 is the button
Seat 1: FlopShooter ($9.75 in chips)
Seat 2: dwarfman1990 ($10 in chips)
Seat 3: Chowner ($4 in chips)
Seat 4: firerat ($4.70 in chips)
Seat 5: Learntoswim ($14.15 in chips)
Seat 6: ret7268 ($8.20 in chips)
Seat 7: *witchywmn2* ($3.50 in chips)
Seat 8: clubberman2 ($3.40 in chips)
Seat 9: YoMeR ($4.60 in chips)
FlopShooter: posts small blind $0.05
dwarfman1990: posts big blind $0.10
Chowner: posts big blind $0.10
*** HOLE CARDS ***
Dealt to dwarfman1990 [:Td: :Ts:]
Chowner: checks
firerat: folds
Learntoswim: calls $0.10
ret7268: calls $0.10
*witchywmn2*: folds
clubberman2: folds
YoMeR: calls $0.10
FlopShooter: folds
dwarfman1990: checks
*** FLOP *** [ ]
dwarfman1990: bets $0.50
Chowner: folds
Learntoswim: calls $0.50
ret7268: folds
YoMeR: folds
*** TURN *** [ ] []
dwarfman1990: bets $1.50
Learntoswim: raises $6.50 to $8
dwarfman1990: folds
Learntoswim collected $4.35 from pot
*** SUMMARY ***
Total pot $4.55 | Rake $0.20
Board [6s 7d 9c 6h]
Seat 1: FlopShooter (small blind) folded before Flop
Seat 2: dwarfman1990 (big blind) folded on the Turn
Seat 3: Chowner folded on the Flop
Seat 4: firerat folded before Flop (didn't bet)
Seat 5: Learntoswim collected ($4.35)
Seat 6: ret7268 folded on the Flop
Seat 7: *witchywmn2* folded before Flop (didn't bet)
Seat 8: clubberman2 folded before Flop (didn't bet)
Seat 9: YoMeR (button) folded on the Flop