I've had these two little sewing tools for awhile. They were in the same little envelope, when I got them out of my grandmothers basement. Correct me if I'm wrong, but I think they are a button hook and a tool for pulling out hems. Looks like mother of pearl handles. No luck finding them online, just lots of knives and razors. I use to have a knife with the same writing except it was "his majesty" instead of her majesty. Does this date them? Also, I've seen Rodgers & sons, even Joseph Rodgers & sons. As the company got older they just kept changing the name, I guess. Which is the oldest? Any comments welcomed.
The Joseph Rodgers & Sons company was based in Sheffield, England, which is in line with the royalty indications on your pieces. Queen Elizabeth's coronation was in 1953, so the reference to His Majesty would predate that. You have identified the buttonhook and the second item is a sewing tool, called a stiletto or awl, could be used to pull hem threads, but primarily intended to punch out the holes in handmade eyelet or make a new hole in a leather belt, used wherever a neat consistently sized hole was need.
I believe it's Queen Victoria. You might like this site: https://www.eggintongroup.co.uk/history/the-history-of-joseph-rodgers.html
It is a button hook (left) for gloves and boots, and an awl or holepunch, for sewing and knitting and making buttonholes etc.
Ha! Thank you all (awl) I have a no name sterling version of the little awl. Been trying to find the use for a long time. I see them advertised as letter openers!