The hosts dominated possession throughout but were unable to build on Angeldahl’s early strike until the 87th minute, when Weir was on target in her 100th City appearance.
Nonetheless, Taylor believes the win can be the start of a successful period for his side, with a Women’s Super League trip to Leicester on the horizon.
“I was really pleased with a lot of the play we had tonight,” he reflected.
“We completely dominated, as we expected to do. Not as easy as we anticipated but a lot of people expected us to probably win by a big margin.
“This Durham team have been really successful in the Championship, held Manchester United in the last game in the Conti Cup.
“It was always going to be difficult. And when you keep a team for long periods, they always feel like they’re still in it.
“It’s good for us, we bounce back from the weekend and go into Sunday’s game looking forward to it now and hoping to build on this momentum.”
A convincing victory was made all the more special by Weir’s goalscoring contribution on her 100th City appearance.
The Scottish international came off the bench with 20 to play and found the net in typically emphatic style to double City’s advantage on the night.
But while Taylor was delighted for Weir to mark her milestone in the best possible fashion he insisted that our win was down to a collective effort from all involved.
Asked about the quality of her finish, he said: “That’s Caroline. (But) I think one of the major things for Caroline and the difference for her in the second half was having Alex (Greenwood) there.
“Alex and Keira’s passes in the second period, breaking lines, playing simple was a big difference.
“We started to speed the play up a little bit, and I felt Laura Coombs did well in that position (as well) and I didn’t really want to take her out of it.
“I put her into the nine position just to look after Ellen White who played a full game and with bunny missing at the moment, we’re lacking in that area.
“I thought Laura was playing well in the 10 position, I thought Filippa created some good things as well.
“There were some real positives.”