Disturbed sleep usually increases blood glucose in the morning, so it probably isn't the issue. Try shifting some of that evening dose to the morning and see what happens. You just have to test-and-measure. Make a small change and test to see what the effect is. Change only one thing at a time and keep everything else the same.
I have made various changes over the years. It seems our daily basal insulin action requirement profile changes as we age. I was finding that I was going low at night even when I was injecting all my Lantus in the morning. Because Lantus takes 6+ hours to get up to speed, I was also going high in the morning. I fixed it by reducing the morning Lantus and injecting some Actrapid at the same time. It is an unusual insulin protocol, but it works perfectly for me.