Can't help with links to the stated families, and you've probably got most of this anyway, but I've written it down so you may as well have it. I think Aaron, at least from his burial, is born around 1745, not 1755. And I think Roberts wife Margaret is the daughter of Thomas Craggs and Ann Curry, not Margaret Wright. Some trees on Ancestry have Margaret born Newcastle in 1774, daughter of Thomas Craggs and Margaret Wright. But on her first 3 childrens baptisms her father is Thomas Craggs, a Pipemaker of Sunderland, and on the 4th a Pipemaker of Gateshead. And on the same trees in 1851 census, she's born Sunderland.
3 Dec 1777. Marriage at Cockfield, Durham. Aron Ridley of Newcastle St. John and Catherine White of this Parish.
25 Oct 1778. Baptism at Cockfield, Durham. Thomas Ridley, son of Aaron and Catherine Ridley of Newcastle.
17 Sep 1780. Baptism at Newcastle All Saints. Robert Ridley, son of Aaron Ridley, Tallow Chandler.
28 Dec 1783. Baptism at Gateshead St. Mary. Aaron Ridley, son of Aaron Ridley.
7 Aug 1785. Baptism at Gateshead St. Mary. Eleanor Ridley, daughter of Aaron Ridley.
7 Sep 1785. Burial at Gateshead St. Mary. Aaron, son of Aaron Ridley
4 Jan 1794. Burial at Gateshead St. Mary. Catherine, wife of Aaron Ridley, Tallow Chandler.
20 Jan 1820. Burial at Gateshead St. Mary. Aaron Ridley, age 75.
23 Nov 1800. Marriage at Gateshead St. Mary. Robert Ridley and Margaret Craggs.
On the baptisms of Robert and Margarets first 3 children at Newcastle All Saints, Margaret is down as daughter of Thomas Craggs, Pipemaker of Sunderland, on the 4th she is daughter of Thomas Craggs, Pipemaker of Gateshead.
So this is likely to be Margarets baptism :
22 Aug 1798. Bishopwearmouth. Margaret Craggs, born 20 Mar 1776, an adult, 1st daughter of Thomas Craggs, Pipemaker, Native of Durham, & Ann, formerly Curry, Native of Pelton.
19 June 1774. Marriage at Sunderland, Thomas Craggs and Ann Curry.
You have Robert and Margaret in Byker in 1841. This is likely to be widowed Margaret in 1851.
44 Ouse Burn, Byker
Margaret Ridley, wid, 75, b. Formerly a Servant, b. Sunderland,
HO107/2408/66/15
Alan.