Hi Delma - welcome to Lantus Land! Lantus is a bit different in how it works. Starting with me and then probably most everyone else that posts today we will tell you to read the stickies at the top of the Lantus board. These stickies contain great information and you will be refered back to them ad nauseum. ( I used to want to yell back at everyone in the beginning - I HAVE READ THE STICKIES!!). But they are good to read and reread.
So regarding Lantus - it needs to build its "shed" (see stickie

) You will not see significant number changes until the shed is built up. It can take days. Your starting dose is good - Are you dosing 1 unit twice a day?? Lantus is given every 12 hrs (there have been some whose vets start on just once a day - but that isn't how lantus is used).
See the stickie called - tight regulation - or it might say Tillies or Rand protocol. Basically when starting with Lantus we hold a dose for at least 6 doses before uping a dose. And when we increase a dose we only usually go by .25 units. You can blow right by a good dose by increasing too fast - the sugars can then stay high cause they are in a chronic rebound.
Are you testing for ketones? Good idea if his numbers are high. Has Frank ever had ketones or DKA? Glad you are home testing. If you haven't yet set up your spread sheet which would record Frank's BG's then please try to get that done. It is much easier for us all to look at an ongoing sheet with his readings than having to search back in post. I am not the best computer person - there are good instruction usually in tech to help you get a spread sheet going (SS) and then how to link it into your signature.
One more thing - with all this coming at you - BREATH! and make sure you have chocolate on hand for yourself incase of emergency ;-) Oh, speaking of emergency - do you have your hypoglycemia kit made up yet?? Yeah, you guessed it - see stickies. You should make sure you have high carb food in the house (HC), honey or karo syrup, a printed up copy of hypoglycemic symptoms and your vets number/er vet's number printed up too. It's all in the stickies!
Welcome again - start a new condo (post) every day. Good idea to start it with Frank's name AMPS - you can edit the title thru the day to include subsequent BG's.