Hi Lynn and welcome to the cafe!
When I started learning (tenor) sax, I used the 'Guest Spot' Blues/Jazz books for clarinet. I couldn't play the clarinet range on the sax so my teacher just told me to transpose certain sections by an octave. I think the 'Guest Spot' series has expanded a lot since then and has dedicated sax books.
It's up to you but I can imagine that there are advantages in using the same books both on clarinet and sax. Easier to compare and contrast. Since you have the same tutor for clarinet and alt sax, I would ask her/his advice first on what would benefit both instruments.
Mike