Links on a apge not working

Where are you adding the url ?

I am highlighting relevant text and pressing insert edit link and pasting the URL there.

Here is the code I used

<h2>The Wedding Book, the ultimate in albums, <a href="https://www.graphistudio.com/gb">Graphistudio</a></h2>
<h2>Wedding Cakes in Sussex, <a href="https://www.elizabeths-cakes.co.uk">Elizabeth Jordan</a></h2>
<a href="https://www.melrobertsdressmaker.com">Melainie Roberts</a>, a dressmaker in Sussex, I have worked from my home in Brighton as a dressmaker, dress designer and tailor since 1998. I make clothes for all occasions, for any age or size, and am happy to create new designs,  I make clothes for all occasions, for any age or size, and am happy to create new designs, or your personal designs or patterns. Please give me a call for free estimates or consultations, or to view my portfolio.

stupidly when I do it here they work!!

All those links on your real site work for me.

Certainly don’t here, I wonder why

I think see your anchor text link 2-3 times. May be there would be some mistake.

so if you go to https://www.robin-cook.co.uk/links and say click Graphistudio, their site opens??

What’s it supposed to do, open a lightbox?

No merely open their site in a different tab

Try deactivating all your plugins to explore whether any could be responsible.

I’ll try first thing

The html code on your links page looks good to me and your links work fine for me. Ipstenu said they work for him. So I don’t think this is a WordPress problem, I think its related to your browser. If you have any extensions on your browser, deactivate them, or try a different browser.

Thank you all for your help, it was the plugin Easing Slider Lite which I use for the opening screens, once disabled all worked fine, am onto author now. Well done Volunteer Mod.