Katie McCabe scored one goal and made another as leaders Arsenal remained top of the Women's Super League table thanks to a 3-0 win over Everton, while Louise Quinn scored to earn Birmingham's first point of the season.
Ireland captain McCabe belted a vicious dipping volley over keeper Alexandra MacIver in the 32nd minute, and the left back then picked out Lotte Wubben-Moy to score from a corner nine minutes later.
Everton posed little threat in attack and Frida Maanum scored the pick of the bunch for Arsenal late on, cutting inside before unleashing a right-foot rocket that burrowed its way into the top corner in the 87th minute.
Louise Quinn's equaliser in the 67th minute earned Birmingham a first point of the season in a 1-1 draw against West Ham.
Five minutes before half-time, Birmingham registered their first effort on goal through Lisa Robertson, whose left-footed effort from long range forced West Ham goalkeeper Mackenzie Arnold into a comfortable save.
Harder's side could have doubled their lead soon afterwards, with Dagny Brynjarsdottir's cross almost turned in for an own goal before Tameka Yallop's effort at the near post was brilliantly saved by Hourihan.
With 25 minutes remaining, Louise Quinn tapped past Arnold from close range after West Ham failed to clear the danger from Robertson's corner to hand the visitors an equaliser and get their season up and running at the fifth time of asking.
Chelsea needed late goals from Pernille Harder and Fran Kirby to finally break winless Leicester's resistance in a 2-0 home victory.
Substitute Harder converted Jessie Fleming's cut-back from close range with eight minutes left and Kirby added a second in stoppage time to seal Chelsea's fourth league win of the season.
Tottenham's 100 per cent start to the season was halted in 2-1 defeat at Brighton, where visiting striker Rachel Williams was sent off.
Lee Geum-min gave Brighton a half-time lead and Williams was dismissed for a second yellow-card offence before Victoria Williams added Brighton's second.
Kit Graham reduced the deficit with two minutes remaining, but Brighton held on for their third league win of the season.
Reading snapped a four-game losing run and climbed off the foot of the table after beating Aston Villa 3-0 at the Madejski Stadium.
Norway winger Amalie Eikeland, Rachel Rowe and Natasha Dowie all produced clinical finishes as the Royals led 3-0 at half-time.