Don't cut it off unless you have some reason to think it is a rootstock sprout. If the shrub is grafted then you have the union buried so it is not possible in this view to see if the sprout is from below the graft.

(see previous post) More shoots are appearing further up the plant - are these suckers and should I remove them?
If not, when they are as big as the rest of the plant could I prune the unsightly larger stems back?

This is the next shoot further up - it wouldn't be a sucker would it?

I'd cut the bottom two off as they could be suckers, can't see too well, but it might well be a grafted rose, better to not take the chance. The top ones wouldn't be suckers. If the larger stem isn't producing any new shoots you should cut it back well with a pruning saw. Ensure the cut is made so that water drains away from the v where the limbs come together and immediately seal the cut with something like steriprune to ensure it doesn't get infection in the wound which can kill it. Roses are pretty tough and this one looks like it is keen to put out another 20 plus years of spectacular flowers. I have some roses that have moved all over the country with me and they usually do well if you cut them back hard and water and feed well before and after transplanting to reduce the shock - I haven't lost one yet. It might not flower as well the first year after transplant and you should prune it back pretty hard around mid winter to give it a decent chance to strengthen its roots before next season. Remember to feed and water too. Good luck and let us know how it does.

May be coming in a bit late here; I haven't checked in on this forum for a while...

Of the two new shoots, I don't really see how the one starting higher up could be from the rootstock, since it's growing from a major stem, and the other one looks identical to it. Also the prickles on the new shoots look the same (in shape and arrangement/quantity) as those from higher up the plant. So my guess is that they're simply healthy new growth that you'd definitely want to keep.

I'm not much of an expert though, so if you want some further opinions, I'd suggest perhaps re-posting on the general 'Roses' forum, which has many more knowledgeable and helpful folks than here. (No offence - I just mean it has a higher volume of passing traffic!!) It won't make any difference that the majority of users are not in Australia for this particular query.

If there's a touch of yellow right down inside at the base of the petals, this could be the excellent 1954 Hybrid Tea, 'Tiffany'. It does indeed have a lovely fragrance, is easy to grow and I seem to remember the flowers lasting very well in a vase.

Comtesse :¬)