If you think she's lonely why not try and find a baby girl to go with her? There's no reason why she would have to go with a male.
Would she get along with the male? Maybe, maybe not. Sometimes with a change in scenery (ie going to your house) chins act differently and it may make them fight. There's no guarantee that because they were together means that they will get along again.
Just as there's no guarantee that she will get along with another female. Chins are picky, you just never know, there's no guarantee.
And chances are, having been a month, she's getting used to being alone. Chins aren't like humans. They do fine being alone. I have two chins that are alone and they are doing just fine. One of my girls lost her female cagemate two months ago and she's doing just fine. She doesn't have to go in with another chin.