Let me make it clear that I do not want to have the debate here about the why and how of the science and personality politics of name changes in the Cattleya alliance (or any other orchids). This is about naming of horticultural hybrids, and by international agreement the RHS has the right and the responsibility to make the rules about that, and whatever they say the name of a hybrid is, that is what it is. Let me also make it clear that I did not say they are good at their job, but interpreting the science is not their weakness.
Hawkinsara was Broughtonia x Cattleya x Laelia x Sophronitis (Bro x C x L x S) from back in the previous century sometime.
Not much has changed about the Bro part of that. Some species have been changed to Bro over the years, but nothing that ever got registered as Bro has changed to something else, at least nothing significant or recent as far as I can see. So Bro stays as part of whatever was Hawkinsara. That is the constant in this equation.
S all got changed to C. That is pretty simple. That reduces Hawkinsara to Laeliocatonia (Bro x C x L). But there are only a few Laeliocatonia around because…
Most L used in this type of hybrid got changed to C. Most, not all. L anceps is still L anceps, along with L speciosa, L rubescens and some others. And some former Schomburgkia jumped to L too. As far as I can see only L anceps has contributed to hybrids that were Hawkinsara, but that accounts for a few Laeliocatonia that remain. Except for those few, that reduces Hawkinsara to Cattleytonia (Bro x C), but…
A few C got changed to Guarianthe (Gur) along the way. This includes 2 very important species in this type if hybrid, Gur aurantiaca and Gur bowringiana. Gur skinneri is in the mix too, maybe some others. That inflates Cattleytonia to Guaricattonia (Bro x C x Gur).
There are some Guaritonia (Bro x Gur) out there too, and at least one Laelonia (Gur x L) and one Brolaelianthe (Bro x Gur x L), but they never would have been Hawkinsara.
So Hawkinsara usually becomes Cattleytonia unless there is Guarianthe in the mix. Then it is Guaricattonia. With a few Laeliocatonia as the exceptions.
My advice to a newbie confused by name changes that sometimes actually happened many years before they ever had an orchid is… Forget about remembering the old names. Learn the new ones for any orchids you have or are interested in, then learn some of the backwards equivalents later if you can.