Straight from the restart Bath looked dangerous. A break from Semesa Rokoduguni resulted in a penalty which Priestland nudged into the corner. After the resulting line-out, Tom Dunn peeled off the ruck and powered over. Priestland added the conversion to reduce the deficit to 11 points.
Quins then enjoyed a period of pressure, but Bath's defence held firm. However, the TMO judged Rokoduguni deliberately knocked the ball on in the tackle and the winger was sent to the sin bin.
From the resulting line-out, Danny Care took advantage of their numerical advantage and sneaked over. Josh Matavesi was then also sent to the sin bin for a dangerous tackle to reduce Bath to 13. James Lang added the conversion to stretch Quins lead to 28-10 with just under half an hour left on the clock.
On 76 minutes, a slick move, orchestrated by Will Chudley, created space out wide for Tom de Glanville to score.
With Muir looking dangerous at every opportunity, Bath created space and de Glanville was denied a second try with the line in his sights.
Bath were inches away from a losing bonus point but can be encouraged by a positive second half from a young side and some exciting debuts.