Is Golgotha and Mount Moriah the same hill?

Yes, they are the same mount.

In Matt 27,33, Mk 15,22, Lk 23,33 and Joh 19,17 the Word 'Calvary (latin Calvariae) appears in the Latin Vulgate translation. Some English translations used this latin Word instead of the Word 'skull', directly from the latin Vulgate. To be more precise, in latin Calvariae means the 'top part (skull-pan) of the skull'.

Origin, one of the Early Church Fathers, identifies Golgotha, the hill on which Jesus was crucified, as looking like the top part of the skull.

A spot there is called Golgotha,-of old the fathers' earlier tongue thus called its name, "The skull-pan of a head:" Origin Against Marcion Book II 259

To see a picture of Golgotha, shaped like the skull-pan of a head, refer to the link below.

Golgotha does not mean the same as Calvary. Golgotha is the name of the place where Jesus was crucified, while Calvary is basically saying 'skullcap'.

And when they were come to the place which is called Caluarie, there they crucified him, and the malefactors, one on the right hand, and the other on the left. Lk 23,33 Original 1611 KJV

And bearing his own cross, he went forth to that place which is called Calvary, but in Hebrew Golgotha. Jn 19,17 Douay-Rheims Bible

Parallel comparisons of Matt 27,33:

And when they were come to a place called Golgotha, that is to say, a place of a skull,

And they came to the place that is called Golgotha, which is the place of Calvary.

και ελθοντες εις τοπον λεγομενον γολγοθα ο εστιν λεγομενος κρανιου τοπος

et venerunt in locum qui dicitur Golgotha quod est Calvariae locus

Read more: Does_Golgotha_and_calvary_mean_the_same