I suppose we're pushing shit uphill to think anyone might have a MW park map from the early 90s...
My first visit was 1994. LT Stage was actually where RRRC sits now as far as I recall. Where Carousel is now used to be an LT merch shop which played (gasp) a laserdisc of LT cartoons on a small tube TV. Shop was absolutely STUFFED full of plush toys and quality LT memorabilia. There was a food outlet to the right of the LT Stage (Sam's Diner?), the front of which I think was boarded up a while ago as it was rarely open tucked away in the back corner of kids land. I think it serves only as an on-ride photo scanning kiosk for Road Runner.
Going off the timeline on Wiki - The LT Land only had river ride, Taxis, an 'unknown playground' and the LT stage (open air) on opening and no new additions were made until 1997 - Marvin Rocket, Tweety Cages, Taz Cars and Sam Train.
The carrots were where the table and chairs are. Inside they had 90's era touch screens that kids could use to colour in LT related 'digital colouring in' pages. I recall a 'fan page' set up I think by cast members of the park, devoted to trying to save the carrots when MW was beginning to think about removing them. Ultimately unsuccessful, I think there was some mention of them on the forums a hwile back, although I don't have the time to go trawling for it right now, you can clearly see the foundations of the carrots on the park's Google Street View
I am really really racking my brain now, but I think the dilapidated shack hidden behind the character wall near the land's entrance (next to first aid) was also once a carrot, now converted and since left to rot - it has the same round shape and garden edging as the others, but I just can't be certain...