Chelsea began the second period with intent and twice threatened early on.
Taylor Hinds had to produce a perfectly timed block tackle to deny Erin Cuthbert when she prepared to fire at goal from fellow half-time introduction Johanna Rytting Kaneryd’s pass.
The lively Baltimore then rasped an effort from the edge of the Liverpool area that was narrowly wide of the right post.
The Reds’ response saw a diagonal Höbinger free-kick from the left glanced across the six-yard box by Gemma Bonner towards Ceri Holland, who could not make contact for a potential tap-in.
Hinds blocked Beever-Jones’ glanced header from a near-post corner and Kaneryd directed a shot straight at Laws from a good position as the Blues pushed for a breakthrough.
Liverpool recreated the routine of Höbinger angled set-piece aiming for Bonner in the closing moments and this time the latter’s header carried wide.
That effort came soon after interim head coach Amber Whiteley sent on Niamh Fahey for the last appearance of her stellar career before retirement, as well as Yana Daniels and Jasmine Matthews for the swansongs of their time at the club.
The final say went to the Blues, however. From a breakaway, Beever-Jones traded passes with Ashley Lawrence and ran through to drive the ball past Laws from close range.
Team
Liverpool: Laws, Fisk (Fahey, 83), Bonner, Evans, Hinds, Kerr, Nagano (Matthews, 83), Höbinger, Holland (Daniels, 76), Roman H. (Kapocs, 76), Smith (Clark, 69).
Unused subs: Micah, Kirby, Enderby.