I dont know about your DD's ability, maybe she just has a strong connection to you.
But when we were children my younger (by 5 years) brother had an imaginary friend, he talked about this friend pretty much from the time he could talk and would play with and behave as if this friend was a completely real person,
I vividly remember how upset he would get if someone insisted that he wasn't real or they couldn't see him.
That in its self is nothing really unusual, but that was just the tip of it.
DBro's 'friend' was called Tun, and he would tell Dbro all sorts of strange and interesting stories, which quite a lot of the time involved things that he could not possibly know anything about.
The most shocking/scary one was about Tun's job, DBro said Tun told he that he fixed airplane engines and was going to/flew planes in the war.
Tun told DBro all sorts of things about planes and plane engines, DBro was obsessed, he talked about it constantly, always drawing pictures of them and making models, always wanting parts and toys of them.
We never thought much of it.
Then when DBro was about 5ish our DF became friends with a exRAF engineer, and he spent a lot of time at our house with his family. He was fascinated by DBros knowledge of engines and they would sit and talk about specific plane engines for hours.
He told us that everything DBro said was spot on and even his drawing and things were very accurate.
There is no way DBro learned about planes or engines from anyone else or books, he had been talking about them since he could talk, it was very bizarre.
But when asked DBro always just said Tun told him, as if that was completely logical.
I think it freaked out my parents a bit and they researched quit a bit about other things he had talked about, and it turned out that pretty much everything that they could check was 100% true, and there was no way DBro could have known it.
Then one day DBro was out playing in the garden with Tun and he came inside quite upset, and when DM asked what was wrong he said that it was Tun's time to go, because his family were waiting for him, but that DBro wasn't to be sad because he would always watch out for him and he would look forward to the day when they would meet again.
DBro said he was happy that Tun was going to be with his family because he knew that he missed them, and he wasn't sad that Tun was leaving, just because he was going to miss him.
He was about 7 at the time, and never really spoke of Tun again.
When we asked DBro about it growing up (and still even now) he had memories of Tun, and I think part of him genuinely believes that he was a real person and that we are all just pulling his leg when we say he was not real.
I don't know if it was a ghost/spirit or something, I don't even really believe in that kind of thing, but DBro still has fond memories of Tun, and I know that he made his childhood very happy.