Air carrier pilot reported a taxiway incursion at DOV; citing a combination of lack of signage and poor surface lighting as contributing.

Narrative

Misinterpretation of taxi chart.ATC Cleared to taxi D; hold short RWY 19". Approaching RWY 19. " Cleared to cross RWY 19; Cleared to cross RWY 14; Bravo; hold short RWY 19."The taxi route given was as we had briefed in the preflight; including hotspot 1. Included in brief was that a hard turn to the right onto B was required after crossing RWY 14. This is where my interpretation was incorrect. The Centre intersection of all 4 taxiways on the taxi chart is on the North side of RWY 14; leading me to believe that I needed to cross RWY 14 before turning Right onto B. In retrospect a Right turn onto RWY 14; then right onto taxiway B is what was required.Before crossing RWY 14 on taxiway D; we didn't see any signs indicating that taxiway B was a right turn. This is a dark part of the airport; the signs may exist; but we didn't see them.As we crossed the 2nd RWY crossing (as instructed) ; RWY 14; I slowed the aircraft looking for taxiway B; I commented; "I can see a taxiway ahead; but that's a bit further ahead than I expected"; then I spotted that taxiway sign as Alpha. " I said "Ohhh that's Alpha" and stopped the aircraft; just as ATC said " Looks like you missed Bravo; continue straight ahead turn Right onto Alpha...etc"The ATC clearance to "cross RWY 14" re-affirmed in my mind that we needed to actually cross the RWY. In retrospect it seems obvious we could have backtrack on RWY 14; then turn right onto Bravo.Suggestions: Enhanced signage prior to RWY 14; that taxiway Bravo is to the right.This; although short ; is a backtrack on RWY 14; NOT a crossing. Perhaps ATC should issue the clearance as " Cleared to cross RWY 19; Cleared for a right turn and backtrack on RWY 14; Right onto B..."I shall be more mindful of the confusion possible with taxiway intersection in close proximity to a RWY."