Targe Towing does have a contract to work the MOL ships which come to Tilbury. It may have recently won some others that I don't know about but, in recent months they have tended to keep a tug on station in Gravesend Reach (I can see from home that SMIT AHOADA is there now).
Yesterday afternoon, CORRINGHAM and SMIT AHOADA (the latter is managed and operated by Targe) were anchored together in Gravesend Reach, down below the Sea Training (now Police) School and abour 1 km downriver of Denton Wharf, where the Svitzer tugs are based. They were the nearest to the ship when things went wrong.
I don't know, though, whether this was a full-blown salvage operation or a simple towing contract.