Hi and welcome
If I've read it correctly, Edward is the father of George, b. Carlton.
I'm assuming you require info re., Edward.
The closest I can get with your info is...
Source, Settrington PR:
14 Jun 1703 Edward s. of Thomas Wright, Settrington, bap.
Source, IGI (Submitted record, family group):
14 May 1700 Thomas Wright & Lucy Key, Settrington, mar.
Birth about 1702 ? Wright s. of Thomas Wright & Lucy. Death, 2 May 1702.
14 Jun 1703 Edward, s. of Thomas & Lucy Wright, bap.
26 Feb 1706 (birth) Lucy, d. of Thomas & Lucy Wright. Note, this given as a birth and not a bap.
Source, Family Search:
11 Nov 1726 Edward Wright & Margaret Nicholson, Middleham, mar.
Source, IGI (Extracted record):
20 Feb 1731 George Wright s. of Edward Wright, Kirkby Malzeard, bap.
The fly in the ointment is that Settrington is in E Yorks. though I believe close to the N Yorks. border.
It may be that someone else reading this has access to more appropriate registers.
I hope you can get something from this.
Regards
Geoff