1954 baby swap featured in Woman's Weekly

[MrsMortimer]

We have a family legend about an accidental baby swap that happened at a hospital in Glasgow in August 1954.
The babies were later swapped back after the mistake was discovered!

I recently had a chat with an older family member who told me a story about being away in the army at the time of this baby swap, and receiving a page torn out of woman's weekly in a letter from home, with the story featured.

This has really piqued my interest and I would love to get hold of a copy or at least find a record of the article in an archive somewhere.
Having looked briefly online, there seem to be a lot of newspaper archives but I can't find a way to search old copies of woman's weekly. There are some 1950s copies for sale on eBay, but I have the extra complication of not knowing exactly which date I need - I'm assuming August or September issues from 1954.

Can anyone offer any advice to help me know where to look, or how to narrow my search?

Wouldn't it be more likely that the story would be in the local paper and not a magazine? Evening Times is the local evening paper in Glasgow, the Glasgow Herald (or just The Herald) is a broadsheet daily. Daily Record also Glasgow based and more tabloid.

I would check the Glasgow papers in the British Newspaper Archive.

There is an app called Readly but I can't see how far back it goes at the moment. It has lotus of magazines, many I've never seen in the shops.