The Alex announced the sad news on Friday that Dugdale and his partner Nicola had lost their baby, with the influential centre-back playing no part in today's 2-0 victory over Southend.
Speaking afterwards, Crewe boss Davis said: "Adam lost his young son several days after he was born to a million, million, million to one chance, it was growth he got on his head. He lost his fight several days ago.
"He's not been in to the club for a couple of weeks now. I spoke to him yesterday morning about it, him and Nicola are holding up as best as they can.
"I told him the players were behind him, we tried to do something today for them. We got some t-shirts made and I'm sure the players put that little bit extra in for him.
"We're a family, we are that sort of club, and when something like that happens we rally and get behind people and that result was for him."