Hodgson landed three penalties before Chris Malone converted his own try for Bath just before half-time.
Wylie Human crossed the line in the game's final move - a score which Chris Malone duly converted.
BBC: SPORT | Rugby Union | European Club | Montferrand 38-22 Bath
Harlequins replacement Chris Malone reduced the arrears to four points with a penalty.
Chris Malone is chief advisory officer of The Relational Capital Group, a research-based, brand relationship marketing firm located in Philadelphia.
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But Chris Malone promptly kicked Quins level and neither side did enough in the remaining stages to merit the win.
Penalties from Chris Malone had put the home side in the lead twice before Leeds took command of the match.
Chris Malone's boot kept Quins in touch, the fly-half kicking 19 points.
But full-back Mike Brown's try with 14 minutes left finally breached the Leinster defence, only for replacement Chris Malone to miss the conversion.
Barkley increased the lead with two penalties before Crockett collected a lofted kick by Chris Malone to put Bath seemingly out of sight.
Returning after a two-year absence from the competition, Quins made a decent start with Chris Malone kicking his side into a 10th-minute lead.
Barkley's fourth penalty and a superb long-range drop goal from debutant Chris Malone put Bath 15-9 up seven minutes into the second half.
This article is by Chris Malone, chief advisory officer of The Relational Capital Group, a research-based, brand relationship marketing firm located in Philadelphia.
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Chris Malone replied for Quins with a penalty before Care's quick tap and break set up Turner-Hall for his second try of the season.
The first half was level at 6-6 with Farrell and Chris Malone kicking two penalties each, although both hit the post with earlier efforts.
Visiting Quins scored four early tries through Simon Keogh (twice), Ugo Monye and Chris Malone - but three missed Malone conversions left the door ajar.
Fly-half Evans departed injured in the 47th minute, before his replacement at number 10 Chris Malone was also helped off hurt later in the second half.
Harlequins made a superb start, fly-half Chris Malone landing a drop-goal after just 23 seconds while Guest drove in from the base of a close-range ruck.
Irish's replacement fly-half Chris Malone was held up inches short and then Semisi Mapasua's back-of-the-hand pass, which put Tagicakibau in, was judged to have gone forward.
Fly-half Nick Evans departed injured in the 47th minute, before his replacement at number 10 Chris Malone was also helped off hurt later in the second half.
Chris Malone twice had a chance to level the scores either side of the half-hour mark, but each time the Quins fly-half pushed his kick across the posts.
It was a different story at the start of the game when Chris Malone kicked two penalties to Thomas's one, but Leeds levelled again after 21 minutes from the boot of Thomas.
Chris Malone, though, missed an easy conversion, hitting the post from just 20m out before making way for former Gloucester fly-half Ryan Lamb, who was booed by many home fans among a 15, 000 crowd.
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