Hi John
I had to reply to this one. I'm originally a Shropshire Lad although exiled Merseyside for many a long year. I still visit the area as my brother still lives in Telford.
I know the Ironbridge area well as I grew up in Madeley about 2 miles away and in fact played at the Blist Hill Museum site when it was still a derelict industrial site!!!
When my parents were alive and living in Madeley we used to stay at Severn Gorge Campsite which is on the outskirts of Madeley. I'm not sure what it's like now as it is has had a lot of holiday homes added I believe. It is a surrounded by woods and was very pleasant when we stayed regularly a few years back. It's in walking distance of the shops, pubs, etc of my home town of Madeley and, a walk/easy drive to the Blists Hill Museum site which has been developed as a a wonderful Victorian "town". The Madeley area has, I feel, not been improved by the large sprawling estates built as part of Telford, but that's a personal opinion!!
You can read reviews of it here
http://www.ukcampsite co.uk/sites/reviews asp?revid=2301
If you are a Caravan Club member there are a good selection of CL sites in the Sites Directory.
As has already been said there are a number of campsites in and around Much Wenlock which is in itself a very pretty, historic market town with a ruined Abbey and other historic buildings. (I was born in the Cottage Hospital there!!) Much Wenlock is about 10 mile pleasant rural drive from Ironbridge, one passes another ruined abbey at Buildwas. Buildwas Abbey is in a lovely setting near the banks of the River Severn.
Ebury Hill CCC site is about 13 miles from Ironbridge and it has a lovely rural setting on a small, wooded hill a couple of miles from Shrewsbury. We stayed there in 2010. It was formely used as an army base and the site roads and building bases have been adapted to be hardstanding pitches. It has a small lake at its centre. Ebury Hill is very handy for Shrewsbury which is another fascinating town with its castle, wealth of historic buildings and interesting shops set in a loop of the River Severn. Shrewsbury is the setting for Ellis Peter's (I used to be her newspaper boy!!) "Cadfael" stories Shrewsbury is about 15 miles from Ironbridge. There are plenty of campsites near Shrewsbury.
http://www.ukcampsite.co.uk/sites/results3.asp?search=Shrewsbury&by=town
Bridgnorth is another site in travelling distance of the Ironbridge Gorge Museums. It is a lovely old town built on two levels on a sandstone cliff next to the River Severn with a funicular railway joining the two parts. It is, also, the home of the Severn Valley railway which runs steam trains along the valley. There are a number of sites in the area.
http://www.ukcampsite.co.uk/sites/results3 asp?search=Bridgnorth&by=town
A site that may be of PARTICULAR INTEREST to you is the CC CL http://www.caravancampingsites.co.uk/shropshire/leofarm.htm
I've not stayed here but it is actually on the top of the Ironbridge Gorge and probably the nearest campsite to the Ironbridge which is only about a mile away. Ironbridge itself is a lovely, although very touristy village clinging to the steep sides of the wooded gorge. (I used to pass the Ironbridge on my way to my Secondary School but that was before it became so famous!! an my Dad worked for the Coalbrookdale Company - the successor of the company that actually made the bridge)p>
With regard to the Ironbridge Gorge Museums I would recommend you get a passport ticket which will enable you to visit all of the sites over a period of time. It will take several days to do justice to all of the sites- Blists Hill alone is a easily a full day's trip. In the summer season I think that the are coaches running between the museum sites as parking is very limited at some of the museums but parking should not be so bad in February.Regards Tim