Does She Have The Right?

Yes she can, since there is no right of first refusal clause in your custody agreement - verbal agreements hold up as much as water through a strainer.

If you go and get the child on "her" time - you are in contempt of court - so it is not in your best interest to do, especially considering everything else from your other post & our lengthy conversation.

Unless your court order specifically states the children are to be picked up/dropped off at respective homes, then she has the right to keep you from her house. All things considered, it is better if you don't go to her house, as the next chapter in your saga wil be some sort of false allegation - or a not so pleasant confrontation with her new husband.

when and if you end up in court for some of the other issues, request a modification for a right of first refusal clause. Typical wording is as follows

That in the event either Parent intends to leave said children for a period of _______hours or longer, that Parent shall first offer the other Parent an opportunity for additional time with said children before making other arrangements for the temporary care of said children. Parent receiving extra time with said children will provide and/or pay for transportation of said children, which he/she may delegate to a responsible adult. Parent leaving said children with the other Parent or with a temporary child care provider, shall notify that Parent of the duration of the parenting time or temporary care of said children by other persons.