Does he like her?

My husband has been texting an old friend the past few days. They havent been flirting and he showed my all their texts. One thing concerned me, he says her name alot. 
For example, she says she missed him, he said "i miss you too sam!" She compliments him, he says "thank you sam! ☺️" 
She was talking about colleges and he said "well sam you know i dont know anything about them! Lol" 
And so on. You get the point. He does it all the time. But with just her. I asked and he said "oh you know i do that. I say your name all the time." But i've read many places that when a man likes a girl, he often says her name. 
Maybe my pregnancy horomones are off today but ive been worried about it. She has feelings for him and has even said that (i had him ask) and he also lied about texting her for a few days. He swore they didnt flirt, and that she was just a really close friend from a while back and he didnt want to cut her off. I freaked out because he lied about it, and we ended up fighting. In the end he said he lied to aviod the fight, he doesnt like her and shes just really cool and he cant help it that shes attracted to him. 
Am I wrong to tell him to cut her off? She gives me a bad feeling and I don't like it. Those feelings will only grow and i know it'll end bad.